It's "Bridges at Toko Ri" and those are Banshees, not F-86s. And remember Bill Holden as well as the two Helo guys (Mickey Rooney and I forget who else) get killed in the end. But some great flying parts. You might even try reading the book.
"Flight of the Phoenix" is good but not worth what it cost (Paul Mantz's life)
"Wings" the old Howard Hughes WW I movie that I could swear I see footage from in the History Channel (or as my wife calls it The Hitler Channel) implying it is real WW I photography when it is actually bean fields in Oxnard.