I guess you mean barbeque? That's what we call 'em in Blighty, anyhoos.
I'm a bit of a traditionalist (read; boring) when it comes to the ol' flaming whatsits: burgers & sausages.
However I do like variations of these, e.g; ostrich instead of beef (seriously, it's FANTASTIC!) and, say, venison sausages or tomato sausages, or some herby recipe. I usually make my own burgers, 'cause frankly the ones you get ready made are 90% rusk or whatever.
Unfortunately in my neck of the woods, there are precious few days which are suitable for outdoor cooking (Scotland is famed for it's rain, after all), so I'm better at the indoor kind. I do a mean lasagne!