Rabbit
A neutral flag is spawned somewhere. Grab it and hold onto it to gain some points. The longer you hold it, the more points you will have. Meanwhile, the other players must try and kill you, grab the flag, and hold onto it. It's a vicious cycle.
TDM (Tribes ascend style)
Each team has X number of shared lives. Dying makes your team lose a life. The first death spawns a flag. The team holding the flag will deduct 2 lives from the victim's team when they kill someone. yum.
Team rabbit
Like rabbit, but it's in teams. One player must hold onto the flag, and his teammates have to defend him. The enemy team has to kill the guy holding the flag, grab it and stop the same happening to them.
Hunters
Killing someone causes them to drop some flags. (They drop 2 if they had none) Pick up dropped flags and return them to the nexus for some points. If you die, you drop all flags you had on you. Return a lot of flags at once to gain more points per flag.