Here, you can find out the wishes that were made, how many there were, and where they were made. This is only for the Dragon Ball and Dragon Ball Z time line, excluding the movies. (Note - I got some help from my Japanese neighbors for translation on this.)
Number of Wishes - 22
Number of Times Shenlong/Porlunga was Summoned - 14 Times
1st
Wish/1st Time Summoned (Shenlong): The
first wish was made in near Emperor Pilaf's castle. After an attempt
all summer long to try and gather the Dragon Ball's to gain control
of the world, Pilaf was suddenly interrupted by Oolong, one of the
main characters at the time, by him wishing for a pair of women's
panties. Pilaf never gave up searching for the Dragon Ball's, even
until the DBGT series.
2nd
Wish/2nd Time Summoned (Shen Long): When
Tao Pai Pai had killed Bora, Upa, his son, was left all alone. Goku
got very mad and defeated him for good, or so he thought at the 23rd
Tenkaichi Budoukai. But, that is a different story. Goku went on to
go fight the Red Ribbon Army, and, finally defeated and over through
the entire army in one day. Goku went back to Upa, seeing him very
sad, and decided he would use his grandpa's Dragon Ball, which he was
searching for in the first place, to revive his dad. He does, and,
goes on another adventure.
3rd
Wish/3rd Time Summoned (Shen Long): When
Piccolo Daimo came into rule; he was very old, but, still very
powerful. He had learned of the Dragon Ball's from Emperor Pilaf,
that he would become immortally young again. In return, Pilaf wanted
some of the world, but was tricked. Piccolo was confronted by Kame
sennin, Tenshinhan, Krillin, and Chaotzu, who had the Dragon Ball's,
and tried to defeat him. It didn't work out, and, Piccolo got to get
his wish. When Shen Long said, "Farewell, until the next wish,"
Piccolo said, there won't be any more wishes, and killed Shen Long.
He then left without looking back.
4th
Wish/4th Time Summoned (Shen Long):
Right after the 22nd Tenkaichi Budoukai, the threat of Piccolo Daimo
had begun, starting with Krillin, who Goku needed to find the Dragon
Ball's and bring him back to life. He went on his search, and,
finally defeated Piccolo Daimo and found the Dragon Ball's. He
brought them to Kame House, for everyone there to see Shen Long, and
make the wish to revive anyone that was killed from Piccolo Daimo
ever. After the wish was granted, everyone awoke that had died from
Piccolo's evil power.
5th
Wish/5th Time Summoned (Shen Long):
After dieing from the hands of Piccolo (should I say Radditz?) Goku
had been up in Heaven, training very hard for the oncoming Saiyans,
Vegeta and Nappa, that were on their way to Earth, to destroy it and
get the wish of immortality. After one year had passed*, Goku was
revived, and, got to go fight the Saiyans. *It is said in the earlier
manga's, that anyone that has died not of natural causes, over one
year, could not be wished back. Goku apparently broke that rule, and
could be returned. Is Shen Long losing his touch?
6th
Wish/6th Time Summoned (Porunga): On
Namek, Freeza and his men were making their onslaught on the whole
planet. While they were there, Vegeta wanted the wish of immortality,
and, had spent quiet a deal of time trying to find them. After
finding all of them with Gohan and Krillin, he decided to take a
break and a nap. While he was asleep, Gohan, Krillin, and Dende awoke
Porunga, and, did the wish of bringing Piccolo back to
life.
7th
Wish/6th Time Summoned (Porunga): On
Namek, Freeza and his men were making their onslaught on the whole
planet. While they were there, Vegeta wanted the wish of immortality,
and, had spent quiet a deal of time trying to find them. After
finding all of them with Gohan and Krillin, he decided to take a
break and a nap. While he was asleep, Gohan, Krillin, and Dende awoke
Porunga, and, did the wish of bringing Piccolo back to life. And for
their second wish, they wanted Piccolo to be brought to
Namek.
8th
Wish/7th Time Summoned (Shen Long):
While Super Saiyan Goku and Freeza were fighting, everyone else was
in a plan to bring everyone back to life, and, bringing everyone to
Earth, all the time Goku was fighting. After a long time of figuring
out what to do, Kaio Sama said that Guru was old, but, did not die of
natural causes. He died over Freeza; by him killing his children, he
too was slowly killing Guru. So, Goku said that they would use the
Earth's Dragon Ball's, to wish everyone on Namek that was killed by
Freeza back to life, and then, use Porunga for the last wish. When
the wish was summoned, Porunga magically appeared in the sky, and
Freeza was heading right for it.
9th
Wish/8th Time Summoned (Porunga): After
Guru being revived by the Earth's Dragon Ball's, Porunga came back.
Freeza came right in front of the dragon, and asked to see if he
could wish for immortality. All the while, Dende was yelling Namekian
at the Dragon, saying that everyone on Namek be brought all the way
to planet Earth, except for Goku and Freeza, so Goku could stale him,
and kill him by the exploding planet. Freeza found out what went
wrong, and almost shot Dende, except, Dende suddenly disappeared, and
everyone else, except for Goku and Freeza, disappeared all the way to
Earth.
10th
Wish/9th Time Summoned (Porunga): When
Freeza was on Namek, he killed Krillin. When the wish was to bring
back everyone killed by Freeza came, Krillin did not come, because,
he was already wished back with the Earth's Dragon Ball's, and
couldn't be brought back again. After a long wait, everyone wished on
Earth, that, Krillin be brought back to Enma Dai's place, to go back
to Earth. Porunga asked what would the next wish be.
11th
Wish/ 9th Time Summoned (Porunga): After
being brought to Enma Dai's place, Krillin had to be wished back to
Earth. Dende then asked Porunga to see if he could bring Krillin to
Earth, and, the wish was granted. Krillin appeared in front of
everyone and rejoiced.
12th
Wish/ 9th Time Summoned (Porunga): Now,
everyone on Kaio sama's planet needed to decide who would go to Earth
now. Tien said he wanted to train more there, and Chaotzu said he
wouldn't leave him. So, Yamcha had to go. He was wished straight to
Earth in a water fountain.
13th
Wish/10th Time Summoned (Porunga): After
waiting 130 days, everyone got to get another 3 wishes. Tien and
Chaotzu had been training hard in Kaio Sama's, until, the day they
had to go back home. Tien and Chaotzu were both wished at the same
time, and, rejoiced when they came to Earth again.
14th
Wish/10th Time Summoned (Porunga): When
Freeza was on Namek, he had started a chain reaction in Namek's core,
starting a five minute count down to its explosion. So, the Namek
have had no planet. For the second wish, the Namekian asked for a
brand new planet Namek. Porunga said it would be done, and, it was
done so.
15th
Wish/10th Time Summoned (Porunga): Now
that there was a new Namek, every Namekian that had stayed on Earth,
was wished to go back to the brand new Namek, along with the Dragon
Balls. We don't see the new Namek, until the middle of the Cell Saga,
where we still see them rebuilding it.
16th
Wish/11th Time Summoned (Shen Long):
After the defeat of Cell, everyone wanted to try out the brand new
Shen Long, who could now have two wishes. The first wish was to bring
back to life all the people that were killed by Cell or absorbed by
him.
17th
Wish/11th Time Summoned (Shen Long):
While fighting the Androids, Krillin had developed a crush on Android
18. When he found out about the bombs in their bodies, Krillin wanted
to try and make Android 18 more human so, he tried to wish for her to
be a human. Shen Long said it couldn't be done. So, he tried to help
her out by removing the bomb in both Android 17 and 18's bodies, to
end the threat and to make them more human like.
18th
Wish/12th Time Summoned (Shen Long):
After Vegeta went into Majin Vegeta, he went back to the 25th
Tenkaichi Budoukai, and, killed lots of people there. Afterwards,
Vegeta went to go find and fight Buu. He was very weak against Buu,
and, died, after self-destructing. Goku says that he can revive
everyone on the Earth by Vegeta, so, Bulma goes out and finds the
Dragon Ball's, and wished everyone that was killed by Vegeta to come
back to life, but not bringing back the bad people. That was their
only wish, so, Shenlong could grant another wish in four
months.
19th
Wish/13th Time Summoned (Porunga): After
fighting Buu, Buu had lost everyone he had absorbed, and had become
as strong as ever. He had gone into space, and, made small energy
ball, that had destroyed the Earth, and everyone there. The first
wish was to make the Earth come back to its original form, leaving no
scars of Buu from it.
20th
Wish/13th Time Summoned (Porunga): After
the Earth had been restored, Vegeta asked Dende to see if everyone
Buu killed could come back to life, excluding the bad ones. It is
done so, and, everyone good is revived.
21st
Wish/13th Time Summoned (Porunga): After
building the Ultimate Genki Dama, Goku needed just a little more
energy to defeat Buu. Buu was struggling against the Genki Dama to
begin with, and, Dende asked Porunga to see if Goku could get his
strength back. Goku suddenly went Super Saiyan, and told Buu of all
the monsters he has faced in the past, that none were as bad as him.
Buu then died for good that.
22nd
Wish/14th Time Summoned (Assumed -
Porunga): A Very Secret Wish!!! While Buu was dieing, Goku asked to
see if Buu could be brought back to life, as an incarnation of a
strong, good Buu. He does, and ten years later, Ubuu comes into the
picture, and Goku thanks the Dragon Ball's that his wished was
granted.
That is every wish that was ever made in the Dragon Ball and Dragon Ball Z timeline, excluding the movies.