To get Cross Slash, use Braver several times.
To get Blade Beam, kill 120 enemies with Cloud.
To get Climbhazard, use Blade Beam 7 times.
To get Meteorain, kill a total of 320 enemies with Cloud.
To get Finishing Touch, use Meteorain 6 times.

Those are all the limit breaks for Cloud you obtain through battles, hopefully that'll help. If you need more, go here.