Someone may have already asked this but...

[DesertYeti]

Let us pretend that there is no number limit to your team, no problems with versions, or stones or anything. If this was the case, what would your team be? And "NO ALL OF THEM!" Thats really stupid.
Mine would be these:
Arcanine
Typhlosion
Houndoom
Ninetails
Rapidash
Flareon
Blaziken
What can I say? I am a sucker for the fire type.
I love all these Pokemon equal and their order is just the way I typed them. It has nothing to do with my favorites.
Now you guys.  

[Itakio]

umbreon
scizor
houndoom
sneasel
flareon
thats all i can think of for favourites.  

[Jishin]

This is easy. mrgreen

Gastly
Haunter
Gengar
Misdreavus
Sableye
Duskull
Dusclops
Shuppet
Banette
Shedinja
Lanturn
Whiscash

(Ghosts? Moi? Whatever gives you that idea?)  

[[Philosophy In A Teacup]]

Going on the assumption we can also have legendaries...

+Ninetales
+Typhlosion
+Dragonite
+Flygon
+Entei
+Ho-Oh
+Charizard
+Skitty
+Gardevoir
+Espeon
+Altaria
+Seviper
+Arbok
+Lunatone

If the reason why I like 'em doesn't fit under "Because of the Gym" or "Pyro", then it has to do with my RPs. biggrin  

[Andy1989]

Gligar
Cubone
Haunter
Salamence
Dragonite
Marshtomp
Wartortle
Mantine
Lanturn
Octillery
Vaporeon

I think that's it... whee  

[Akahana]

Torkoal
Dragonite
Ampharos
Scyther
Blastoise
Wartortle
Squirtle
Ivysaur
Bulbasaur
Grovyle
Sneasel
Kangaskhan
Nidoqueen
Persian
Meganium
Mawile
Flygon
Magmar
Lapras
Mantine
Seviper
Armaldo

Whew! I mix and match from those in my teams, but those are my favorites by appearance(not in any order though), and were I in the Pokemon world, I'd train them to overcome their weaknesses that are apparent in the game. It always made me sad that you can't have really strong unevolveds in the game, because I like some of the younger evolutions better (appearance-wise) such as Grovyle and Ivysaur. Venusaur is so bloblike and unappealing.
gonk  

[Saiyajin-Neko]

Ok, well lets see about this.

Raichu
Pidgeot
Dragonite
Nintails
Charizard
Espeon
Chikorita
Mew
Celebi
Vaporeon
Articuno
Gyarados
Torchic (Any of evloved form)
Ralts ('')
Alakazam
Golem
Mawile
Milotic
Flygon
Latias
Metagross

sweatdrop Thats alot ne? Hehehehe....~Walks away slowly~  

[Load Chaud]

Hoo boy...

-Surfing Pikachu
-Gardevoir
-Blaziken
-Blastoise
-Mew
-Charizard
-Golem
-Hypno
-Breloom
-Gengar
-Scizor
-Venusaur
-Espeon
-Umbreon
-Jolteon
-Ditto
-Butterfree
-Mightyena

... I think that's all of 'em...  

[Sui Kune]

Suicune
Entei
Raikou
Ho-oh
Articuno
Absol
Vaporeon
Ninetales
Manectric
Mightyena
Arcanine
Swampert
Typhlosion
Venusaur
Salamence
Gardevoir

ninja I know, FIVE Legendaries....  

[Aoi Hikari]

Alright, here I go!

-Umbreon
-Lunatone
-Gastly
-Haunter
-Gengar
-Ralts
-Wooper
-Taillow
-Shuppet
-Torchic
-Cyndaquil
-Vulpix
-Jigglypuff
-Clefairy
-Squirtle
-Eevee
-Dratini
-Espeon
-Vaporeon
I'll think of more later ^^;  

[Toko Ojin]

Jolteon
Gengar
Haunter
Chimecho
Clefable
Swampert
Ninetails
Wobbafet
Espeon
Umbreon
Mew
Absol
Raikou
Suicune
Blastoise
Charizard
Dragonite
Dragonair
Bannet
Electrode
Ninjask
Medicham
Mr. Mime
Lugia
Raichu
Sandslash
Wigglytuff
Parasect
Persian
Golduck
Arkanine
Machamp
Tentacruel
Slowbro
Magneton
Farfetch'd
Muk
Cloyster
Hypno
Exeggutor
Rhydon
Seadra
Starmie
Electabuzz
Eevee
Porygon2
Articuno
Zapdos
Mewtwo
Ledian
Crobat
Lanturn
Togetic
Xatu
Azumarill
Jumpluff
Sunflora
Yanma
Quagsire
Slowking
Forretress
Heracross
Octillery
Donphan
Hitmontop
Sceptile
Ludicolo
Gardevoir
Breloom
Hariyama
Delcatty
Sableye
Torkoal
Grumpig
Claydol
Milotic
Kecleon
Tropius
Metagross
Latias
Latios
Rayquaza

Yeah, I know it is a lot! redface But these are the Pokémon I like the most, count out the legendaries if you wish. The first section that is not in pokédex order are ones that I could remember off the top of my head.  

[Zeek Slider]

Smoochum
Wynaut
Swablu
Lombre
Scizzor
Delibird
Octillory
Yanma
Quilava
Chansy
Eevee
Vaporeon
Jolteon
Flareon
Umbreon
Espeon
Clefairy
Clefable
Jigglypuff
Togetic
Meowth
Snorlax
Diglet
Ninetails
Machoke
Plusle
Minum
Psyduck  

[Lucca Ashtear]

Favorites?

Dragonite
Sneasel
Sableye
Gardevoir
Butterfree
Parasect
Absol
Scizor or Scyther
Houndoom
Ditto

In no particular order.  

[Ulfheonar Shapechanger]

Raikou
Latias
Absol
Mew
Charizard
Aerodactyl
Houndoom
Arcannine
Espeon
Mightyena
Ninetails

And thats basicly it. Maybe Articuno.. but I'm not sure on that.