Mig 15 is seriously sexy and I would take one against a saber any day. As for jets, the Mig 21 is my all time favorate in terms of design followed/equal to the A6 in terms of aesthetically pleasing looks.
North American's F-86 was more sophisticated than the MiG. Radar lead computing gunsight, far better high Mach handling. All Sabres could out-turn the MiG, but the later hard-wing E models did so with greater margin. Sabre's could exceed Mach 1 in a shallow dive. The MiG-15 could not, and if the pilot tried, he'd likely kill himself. In terms of speed, the F-86 was faster. On the other hand, the MiG accelerated and climbed better, and had a higher ceiling. Yeager flew one brought over by a defector. He lauded the MiG. George Welch, F-86 lead test pilot and 16 kill ace, offered Yeager a challenge. Welch was in Japan at the time. Welch suggested he in an F-86E vs Yeager in the MiG-15bis. Yeager declined, claiming that the USAF would not allow it. Perhaps not... However, Welch needled him for quite some time.
Performance wasn't always enough... Seven Soviet MiG-15s attacked two F9F-5s sent out to investigate the MiGs approaching their carrier. The MiGs flew out of Soviet air space. A third F9F joined the fight. Net result? As many as 5 MiGs didn't get home. Gun camera films only confirm 3 downed. However, intercepted radio calls from the MiGs leans towards 5 not getting home. Two apparently had to ditch due to damage. One F9F took a couple of 23mm hits, but landed back aboard its carrier without incident. That was the one and only time Soviet MiGs seriously challenged Navy fighters off of North Korea. The Russians ran an extensive SAR for two days before they quit looking for their missing pilots.
All of this is well documented in the carrier's after action report, as well as the pilot's "encounter" report. All three pilots were flown to Japan for debriefing. The DOD sat on the story for years, figuring that public knowledge of the incident would force Truman to act in response to the provocation. The Russians denied any such encounter, naturally of course. A recent review of Russian records does show that 5 aircraft were stricken from the MiG units records that same week.