I am hoping that by blasting things to bits means killing things.I am a FPS player so most of my suggestions will be that genre of games.
For strategy and blasting things to bits then Fallout 3.This is pretty good value for money particularly if you get the GOTY edition as it comes with all the DLC which is about 5 expansion packs. Great game by the way.
For out and out killing space monsters then Dead Space 1 or 2 would be excellent.
Painkiller Hell and Damnation Great fun.
Far Cry This is a classic game and involves quite a bit of strategic thinking.
All these games I have played on the PC and I have no idea what the PS3 versions are like. All these games have been around a while but have stood the test of time,I still go back to most of them.
Others you might like to look at are Rage, Bulletstorm,Dead Island.