Excuse me is I think as equally common as Sorry.   I probably could have chosen a better example such as:

Sorry, can I just squeeze through please....

but more and more of us are trying to avoid the overuse of sorry, and using alternatives such as excuse me in place.  Thinking just from my own personal perspective I would say in the last 10 yrs my use of 'sorry" has declined to almost nothing.   Now in a truly remorseful situation I say "I apologize" otherwise I choose my words very carefully and with deliberate intent.