Okay. Technically, this isn't an anime. It's just a Japanese film. Not animated, but Japanese.
It's a romantic comedy called Adrenaline Drive. I've had the movie for years but I just watched it tonight. It's one of the cutest movies I've ever seen, and even though it isn't anime, it feels just like it.
It's about a guy who gets attacked by a mob and a girl who treats him in the ambulance. They find money that belongs to the mob and run away with it together. Hilarity ensues.
I seriously reccomend this to all of you. If you think all Japanese films require lots of explosions and gratituous pantie shots, then check this out to be proven wrong.