It's impossible to narrow it down to ~10~ game franchises, so I don't blame you for having a highly lacking list.
I'd say that.. out of all of the currently active or "mainstream" console franchises.. I'm always looking forward to the next big Mario or Zelda title. Whether Mario 128 is GCN-bound (as it's supposed to be) or N5-bound.. it's definitely up there.
I voted for RE. It was either RE, Halo, GT, or maybe Final Fantasy.. and RE is the one I like the most out of those.
Virtua Fighter, also good.. but didn't VF4E practically perfect this series?