It bothers me a little, in that I don't like seeing things being burnt uselessly. I generally don't like seeing anything on fire, except when it serves a useful, practical purpose - like generating warmth, catalyzing a reaction or scaring away wild animals.
Flag burning just looks like grandstanding to me. Oooooh - you burned a little flag that you bought with your own money! What a statement you're making! You're really making the Americans and the English cry when you burn that flag! It really strikes a blow against them! What an incredibly useful thing to do - burn bits of cloth in public! That's really gonna solve all the problems in the Middle East, you know. Why, I believe Adam Smith himself uncovered the economic law of "Burn US flags = Instant expansion in manufacturing and the services sectors!".
I'm not a jingositic, nationalistic sort of person. You can burn an Australian flag in front of my eyes, and I'll just shrug my shoulders BECAUSE IT ACCOMPLISHES NOTHING. BY BURNING THAT FLAG YOU'VE DONE NOTHING. NOTHING. N.O.T.H.I.N.G at all. All you've done is burn a bit of cloth, and if you think that makes even a tiny smidgen of difference to anyone, you're crazy.
Flag burning only annoys me very slightly, because it's an idiotic, stupid, show-boating, grand-standing act that accomplishes precisely zilch. And it's just inherently destructive. Why burn that cloth? Can't these people find something more useful to do with it?