Wii U.

Depending on what games you like the answer will change. Seeing as you had a 360 and liked it i would think that the PS3 has more exclusives than the Wii-U that would take your fancy.

For me it would be like

Wii Games (Make sure to have a SDTV to had because these games loop pretty bad on a HD screen)

Mario Kart Wii

Smash bros brawl (I did not like it but if I dont list it I will be killed)

Mario Galaxy (did not like it but will get killed if not mentioned)

Mario Galaxy 2 (did not play it because i did not like the first. has to be listed because i will get killed)

New Super Mario Bros. Wii

Twilight Princess

Donkey Kong Country Returns

Skyward Sword

Disney Epic mickey

Sonic secret Rings

Resident Evil 4

Sonic Colours

Red steel

Red steel 2

The last story

silent hill shattered memories

Naruto Fighting games

fragile dreams farewell ruins of the moon (it was a bit slow but still decent)

Epic Mickey (the first is wii exclusive)

One Piece Unlimited Cruise 2

One piece unlimited Cruise 1

Monster Hunter tri

Xenoblade Chronicles

Wii-U games

New super Mario Bros. U

Super Mario 3D World

New Super Luigi U

Wind Waker (I hate this Zelda but you said you like them)

Lego City undercover

Donkey Kong tropical Freeze

Obviously you have the games that are not released yet:

Zelda U

Kart U

Smash bros U

Other ninty games

PS3 pretty much has all the AAA games its going to get

Uncharted 1

Uncharted 2

Uncharted 3

The Last of Us

Jak n Daxter Collection

infamous 1 (it was ok but not what it was hyped up to be)

infamous 2

Killzone 2

Killzone 3 (This game was not as good as number 2)

God of War 3

God of War Collection

God of War: accession

Gran Turismo 6 (you wont need 5)

Metal Gear Solid 4

LittlebigPlanet 1

LittleBigPlanet 2

LittleBigPlanet Karting

Resistance 1

Resistance 3 (Don’t play number 2, meh)

Yakuza games

Heavy Rain

Beyond: Two Souls

Demon Souls (First is PS3 Exclusive)

Heavenly Sword

Siren: Blood Curse

Naruto fighting games

Tales of Symphonia Chronicles (COLLECTION of symphonia tales games)

Tales of Xillia

Tales of Graces f

White Knight Chronicles

White Knight Chronicles 2

Ni no Kuni: Wrath of the White Witch

Valkyria Chronicles

Kingdom Hearts HD

One Piece Pirate Musou

One piece Pirate Warriors

One piece Pirate Warriors 2

3d-dot games heroes. Enjoyed this but you might not like it.

Twisted Metal

Disgaea games

Team ico collection

Sly Cooper: Thieves in Time

Sly Collection

Ratchet n Clank collection

Ratchet n Clank games (Crack in time is a gem)

Atelier Rorona

Persona games

Tales of Xillia 2 when it comes to the west

MLB: The Show (If you like baseball, I don’t play them but I always here good things)

Obviously the PS3 has all the 3^rd parties 360 has. Maybe you have missed a good few games that were on the 360 that you never managed to pic up.

Also the PSN games. Wiiware is pretty crappy.

Both good options. I would pic a PS3 personally but I already have a Wii so i know what to expect from it from BC is no big issue in my opinion. 

Wii U is the best buy unless you like JRPG's. At that point you have quite a bit of a backcatalog and upcoming games for the PS3. Most of the other games you have already played on the 360.

The Wii U on the other hand still has some years to live and will offer you exclusive content for those coming years. It also already has some worthwhile games out.

Basically, if you want to save up go for PS3. If you want to invest in the future, go Wii U.

Wii U is a no brainer, unless there's a particular game you are eager to play on 360 or PS3, in which case just get the one that has it. 

Wii u the first party and indies

Ok, so i'm pretty aware of all the PS3 exclusives and there are some solid ones I want to play Beyond Two Souls, Demon Souls, Ni No Kuni, Heavy Rain, God of War, Journey, Metal Gear Solid 4 and The Last of Us. I keep seeing people saying that Wii U would be best because it's backwards compatible. I know i want to play pretty much all of their first party exclusives. However, what third party games does Nintendo have that I would want to play similar to the list above? I am into RPGs, adventure games, and some of the non-standard ones like Ico and I assume Journy and Heavy Rain fall on that category.

Well Wii U can play Wii U games and Wii games, as well as having a fairly large virtual console selection (you can use the Wii and Wii U VC to buy games from tons of old consoles). If you miss Nintendo games then you will get a heaping helping with the Wii U...

EDIT: I will add that Nintendo consoles tend to get more niche titles when you are looking into third parties. There are great games for the Wii such as Little King's Story, No More Heroes and Muramasa but there are fewer prototypical genre games.

I honestly believe Wii U is the best here, but PS3 is a good option too.

i dont get.
everybody misses nintendo games, but no one wants to buy a wii U.

WiiU or PS3. I'd go for the WiiU.