The anime ends with a filler episode if I remember correctly, not sure what story they ended with from the manga. I beleive it's when they were in Lecourt Country. Where they broke into the library to get Sakura-chan's feather. (although it wasn't exatcly like the manga.)
The OAV is when Syaoran, Fay, Sakura-chan, Kurogane, and Mokona go into Tokyo with the acid rain and stuff. (Tokyo ARC).