The order doesn't really matter.
Resident Evil0,
Resident Evil 1,
Resident Evil 2,
Resident Evil 3 Nemesis,
Resident Evil Survivor (s),
Resident Evil Code Veronica,
Resident Evil Outbreak,
Resident Evil Outbreak 2,
Resident Evil 4,
Resident Evil 5,
Resident Evil: The Umbrella Chronicles,
Resident Evil: The Darkside Chronicles.
If I forgot any please change this answer.