Resident Evil

There's a surprising amount of ammo around, so you can afford to use your weapons. It's better to dodge enemies, but if it's too hard and you're going through an area you think you'll come back to, then just kill the zombies. If it's a small room with one item, try to avoid the undead.

Pick Jill your first time through, she gets better weapons and a bigger inventory, along with a handy lockpick.