Continental is great for overseas travel. I used to fly them quite regularly. They do get delayed too much (domestic) but they are very good about giving free flight vouchers if they delay you beyond a certain amount of time.
I had one experience with Continental where the worker was beyond rude. I got her name from her tag, told her that I'd be reporting her before I left the airport, and did so. I received a letter later saying she'd been "retrained" in customer service. Yes, she was that rude.
No one airlines is perfect, but some do try a bit harder than others. I never used to be a big fan of Continental, but they won me over through time.
Tink, you do know that Continental has merged with United right? They are repainting their planes. The tail will now have the Continental Globe but the plane itself will say United.