It's...
Resident Evil
I hope you got a good brain for this one ain't easy.
One wrong move and you are done for.
The games have their fair share of puzzles and super-powerful monsters you have to figure out how to beat. You also have to manage your ammo, and in the later installments, even your money very wisely. Because of that, the games can be quite difficult.
These dogs and other 4 legged creatures aren't gonna lick your wounds.
Mutated, vicious dogs and 4-legged creatures.
In the land of the rodents, the nightmare has just begun.
The viruses were spread by the infected rats in Raccoon City (RE2 intro).
But the police is not gonna help you.
They tend to be completely useless and it's up to the player to save the day.
Better be fast, your archenemy is on your tail.
"Archenemy" could be a play on the name of Nemesis, the monster which just kept coming at the player character and could run very fast (RE3: Nemesis).
You should have known someone who wears sunglasses indoors can't be trusted.
It's a reference to Albert Wesker, one of the main villains, if not THE one.
Edit:
I didn't ignore the first line, just decided to address it together with the second one.
The other 4-legged creature could be...
William Birkin's 4th form, which doesn't have a human-like stance anymore. (the pic would probably be too gross for this site to even be linked, sorry)
It still seemed to me that they went down too easily.