I loved Far Cry 2 and Fallout 3
However as for bad games:
Xbox360
The original Saints Row - omg the controls were horrible
Superman Returns - that game was just crap...this game was so bad it made My Little Pony 2 seem like a classic. Yes I've played it as well but it was kind of fun in strange perverse kind of way.
The Last Remnant - talk about a convoluted battle system
PS3
The Last Rebellion - easy platinum sure, but some of the worst dialogue and voice acting ever and such a strange difficulty curve when you came to those stupid puppets.
Terminator Salvation, another easy plat but I swear I fell asleep playing several times. It was just awful and not in an awful its so good kind of way.
Final Fantasy XIII - are you serious? Square -Enix just raped the series then raped it again repeatedly. I felt I had just witnessed a crime taking place.
Bioshock Infinite - what a stupid storyline, dire, unimaginative and I don't care if it won awards, so did Titanic, doesn't make it a good film
PSVita
I've fortunately not played that many bad games on it, however the worst are ones I got with PS Plus
Big Sky Infinity - boring and dull
Dynasty Warriors Next - I love Dynasty Warriors series but that game is complete tosh...really? It's like wii-ify, gimmicky and horrid why oh why Tecmo Koei???? There is a special place in hell for you.