Resident Evil 2 will give you everything the first thing did and much more!
The story takes place in Raccoon City, where you play as either Claire Redfield or Leon Kennedy. Claire Redfield is a bad-ass biker chick who came to Raccoon City in search of her brother Chris Redfield who was a main character in the first game. Leon Kennedy is a rookie police officer who had just arrived in Raccoon City when the outbreak occurred. Claire and Leon basically try and find the truth about what's going on in the city and along their journey they meet up with a few memorable monsters and characters. One of them is classified as one of Resi's sexiest women, Ada Wong.
The controlls are clunky, but I'm not dissing it, as this game was made a long time ago. A little tip when you're playing older games: try not to compare the controls or graphics to modern games as obviously it wasn't possible back then.
I can't say much more, because if I do I'll go on forever! Buy this game, or you'll never get to experience the true nature of this game.