Two games in particular come to mind for this. The first is Buffy the Vampire Slayer (and any other cinematic unisystem game). These games are designed to be ran in seasons. Ten sessions/episodes sounds like a full season to me.
The second game that comes to mind is Shadow of the Demon Lord. Why? Because the game was designed for shorter campaigns. Characters in the game start at 0 level and are level 10 by the time the game ends. There is no XP system and you level up at the end of the adventure.