Resident Evil 3: Nemesis

On your first run through the game, treat Nemesis like he's radioactive. Don't fight him if it can possibly be avoided in any way. (You don't have a mandatory fight against plain Nemesis until the clock tower courtyard, which you won't reach for a while. You can immediately end the fight in the railcar by turning around and leaving again.) Nemesis is right-handed, so you can most easily avoid him by simply running straight by him on the left side; he'll wind up for his big haymaker and go straight past you.

Stockpile Gunpowder C (Gunpowder A + Gunpowder B) and the plain grenade rounds. You can combine these to make Freeze Rounds, which are the most powerful weapon against Nemesis; they knock him down in six shots and knock him out in six more.

You do not need to kill everything you see. Avoid conflict whenever possible. RE3 has more ammunition lying around than the games that came before it, but there is a finite supply. Use any explosive barrels you see.