BF that at lvl 6 may begin usually are temple and arena during their unbreak days , also sometimes may happen they begin also in days without unbreak.
CC are pretty rare because it's duration is 2 hours long and not many guys want to stay for 2 hours fighting each other.
Sometimes there are other pvp events like
this one in news , if you want do pvp i think there is no other need to get other bfs, otherwise you can level up and become a mage, they got more type of bf, from lvl 7 will also begin tallaars but no one usually go there during break time, but if they put unbreak event for tallaar a lot of people go there too.