Also from Hot Rox, the RokSak is a great bag for very little money - £29.95 but is out of stock at present. It fits both my Precision and my Peerless semi (JC type).
I’ve travelled with a guitar on both EasyJet and ElAl. No charge but size limited and a bass would be too big. I have a 12fret parlour guitar which is just right. Saw a guy trying to get on with a bass in a soft case once. How he got past the ground staff I have no idea, but the cabin crew would not let it on and were offering to put in the hold!!!!