I haven't been on BL for awhile so I don't know if these have been added in the latest versions.
Capture
Players fight over certain areas marked by "Terratory Bricks". Basically the same thing as you do on Star Wars Battlefront and Terratories on Halo 3. Terratory Bricks should be placed like a normal brick but cannot be moved while ANYONE is playing this gametype.
Armies
Players have "Money" and spawn commandable Soldiers. They gain money by killing enemy soldiers. Money is used to spawn more, upgrade, and buy new types of soldiers. Players win by destroying the enemy base.
Racing
Players ride in vehicles selected when creating the minigame. The track is made by placing "Race Bricks". It is impossible to go outside of these bricks(invisible wall type thing). First one to go throught the finish line a chosen number of times wins.
Tag
No weapons. A player is randomly chosen to be "it". He tries to tag other players by running into them. If a player is tagged, he/she is "tazed" for 3 seconds. Then he/she is it. This would be fun in city builds.
Bombs
"Maby an explosion game type: You would have to place bombs on certian parts of the build then when there all set, just blow away and win the round, the other team will have to fight off the other team and if the bomb is set, de-activate it (Which wire???? BLue or Red??? *Cuts Red* -BOOM!!- *Build explodes >:])"
-Dark One
Baseball
Items: Bat and Ball. Rules: Same as real life. One persons throws the ball and the other person tries to hit it. MORE INFO LATER.
Do you have a good idea? Post it here and it may get added with your name by it!