I am a frequent international flyer, and my bags were never lost or late. I, however, never booked budget airlines.
I've had my luggage misplaced at hotels and cruises more than an airline. So far. One hotel took hours to find it. Of course it had my dress clothes in it, and I would have had to dress for dinner, but was given an excuse. It showed up after dinner.
I've had bags damaged on planes, but who hasn't at some point or another. Best place for luggage? TJMaxx.