Master Bruce isn't here right now. But Alfred Pennyworth is more than happy to take out Gotham's trash.
A month back, a mod for Batman: Arkham Knight lets PC users (those who got the game before it stopped being sold, anyway) play as a bunch of other characters from the Dark Knight's newest video game. Alfred wasn't part of the roster then, but tweaks to the mod now let players control Bruce Wayne's surrogate dad.
Seeing the old guy in action is hilarious but, in comics continuity, Alfred Pennyworth has been written as having had espionage and combat experience in the past. So, yeah, he could take down a criminal or two, and then bake a souffle afterwards to celebrate. Don't test him.