Little Big Anguirus is the Little Big Planet counterpart of Anguirus. There are two versions of LBA, but the Costume is the most important one. LBA is a rather short-tempered but nice guy. He enjoys Flying, so he loves Jetpacks.
Big Anguirus is more closer related to Anguirus. It likes to stand up on two legs, and walk like a robot and move it's head up and down at the rythm of it's legs, as if it were saying yes.
Here's a Gallery featuring Anguirus.