I think you might be referring to "Memento," gr8?

Also maybe "The Corruptor" for the buddy cop crime stuff?

Some more might occur to me, I'm a big fan of action flicks and buddy cop movies are one of my genres within it. Mmmmm, guilty pleasures.

alcyone

One loses so many laughs by not laughing at oneself - Sara Jeannette Duncan
http://languagelog.ldc.upenn.edu/myl/llog/duty_calls.png