Just get something that you are confident can survive normal baggage handling. I’d say a Gator Case or SKS on the less expensive side. If you wanna drop the big bucks, companies like Calton Cases make carbon fiber/composite cases.
Most airlines will allow you to put your guitar in the “coat closet.” Always try to carry it on, but have confidence that if they make you gate check it, it will be safe. Bonus: If you gate check, then your guitar will be one of the last items into the cargo hold and one of the first items out.
Keep in mind that if it’s at all appropriate, travel with the smallest guitar possible. A Les Paul case has a much smaller footprint than a Jazzmaster case.
Size matters.
Also, make sure to have your guitar’s information recorded somewhere (make, model, serial number and original purchase receipt where appropriate) and snap a picture of it in the case just before you leave. If something happens to it, you want to be able to make an insurance claim as quickly as possible.