Might not be as much fun as you'd think, Odhanan.
For one thing the big draw of RE for me was how it was like an updated
Night of the Living Dead (quite possibly one of the most underrated films ever). Normal people, albeit competent people, in a zombie outbreak. Good stuff.
The first group were 4th-level characters in Raccoon City. The game started with the press release about the scandal in the STARS. This happened the day after the events of RE. For these first few sessions, it was pure roleplaying/corporate espionage/investigation. Critters had been sighted around town and the characters were trying to piece it together. They fought a strange diseased critter in the Cedar district and (surprise surprise) the press covered it up. Umbrella security was stepped up and the characters were snooping around the Umbrella offices in town. Monsters kept appearing, and things kept deteriorating until communications were cut off and the town was quarantined. Then they had to escape.
The escape was the great part. Fighting through hordes of zombies while trying to elude a team of Umbrella mercenaries sent to destroy their evidence. They ran out of ammo alot (like in the games, ammo was scarce and you had to conserve), but the solutions the players came up to the problems were great.
The writeups I have for the established RE characters were kinda on the low-powered side by most people's estimation. Rebecca Chambers was 2nd-level, Chris Redfield and Jill Valentine were 5th, and the venerable Barry Burton was 7th. If you're interested I'll try to find my notes and post them here.