There are many. Just about any Super Mario game. "Super Mario Bros." on SNES comes to mind.

What game allowed you to play as "Sweet Tooth" as an unlocked skin if you had a Twisted Metal Black save file?

***it was NOT a twisted metal game***

War of The Monsters I believe.
What game made you run away from ghosts while eating a certain thing to complete the stage?

PAC-MAN?

Yep. Too lazy and tired to come up with difficult ones

What game was a launch title on Gamecube, that featured a famous gaming icon ghost hunting with a vaccum cleaner?

Luigi's Mansion!

What game has you play as a simple man part of a engineering crew that gets stranded on a planetcracker and have to go through hordes of necromorphs?

Dead Space

What game lets you choose a crazy old lady who shoots projectile dentures and can kiss an opponent to make herself younger?

Power Instinct?

LMAO! That sounds fun!

Yes! Present your clue, fair Shingo.

Clue time......

Animals that could walk on two feet, there was even a penguin that turned into a phoenix and also a chimera.

when did Shingo change his username?

I know, right? And the answer to Not Shingo's question is definitely Bloody Roar.

A PS3 exclusive game that is a first person shooter. No story mode and online gameplay only. It features two different enemy factions called the Chernovans and Eucadians.

This one is pretty easy

Warhawk.

What FPS has you going around to find a floating computer that has the secrets of what a certain corporation is doing. They are working with an alien race for better technology, and they are also trying to do some cloning scheme with the president.

You have some help with an alien that you saved at Area 51.

My description probably couldn't be so vague... That last part probably would do the trick.

Perfect Dark

This game pioneered cover shooting in video games.

KillSwitch?

Nope. It was made by a Japanese developer though.

I don't remember Warhawk being a FPS. I remember it being 3rd person.

Hmm... I looked up the word "Eucadians" and that's all that kept popping up.

I don't know what game it is...

Shit... My bad. Its been a long time since ive played Warhawk. Icebaby got it right anyway though.

Time Crisis?

It has to be. Right? Namco was the publisher and they are Japanese!

A turn based military strategy game on a handheld system. At the beginning of the game you take control of the Orange Star Army.

No. Winback dammit. And to answer your, Advance Wars or some shit. I can't recall if that's how the title is presented. Advance(d?) Wars.

Yes your right. I think it's Advance Wars.

As for your game there. I'm stumped. Any more clues?