While these games are a far stretch from what made the series famous, they are great games in their own right. These are 3rd peron shooters, with the scares coming in the form of overwhelming enemies. The famous RE puzzles are all but gone, but the frantic action is admirable.
I'm sure everyone here is at least familiar with these games so I'll leave you with this-pick up these games if you haven't already. Don't expect them to follow suit from the other games, but you won't be disappointed with the gameplay.
http://en.wikipedia.org/wiki/Resident_Evil_4
http://en.wikipedia.org/wiki/Resident_Evil_5