Had the Suez Crisis not happened, the Canal would have remained an international property until 1968, at which time it would become an Egyptianised company. Nasser wouldn't have had to shell out so much to compensate the shareholders.
Nasser's prestige and false sense of security would never be, and in any future wars with Israel, he'd probably tone down the rhetoric and up the ante on training the army. In the Crisis Nasser scored a political-not military victory. No strong alliance with the Soviets, and although pan-Arabism as an ideology was very much in place, all those hasty half-baked projects (the UAR, Yemen War) wouldn't have happened like that.
In Britain, Eden would have remained for at least a few years (provided his health withstood it). Independence for a few British-ruled realms would have probably stalled for a few years.
The chances of Algerie remaining French increase-but perhaps this means a prolonged resistance, a lengthier war etc.