Viggen, there were 2 incidents w/F-14's against Libyan fighters.
In 1981, Kaddafi, leader of Libya, extended the territorial claims over the Mediterannean Sea to 12 miles intes of the internationally accepted 2 miles. The US decided to challenge that claim. US carrier battle groups would operate close to that claim and US Nvy fighters often entered the Libyan territorial waters. They would be tracked by Libyan radar and Liby fighters were launched to intercept, but would disengage before coming too close. On August 19, 1981, to F-14A's from VF-41 were flying CAP from the USS Nimitz, conducting a missile excercise. A patrolling E-2 Hawkeye made radar contact w/2 Libyan Su-22 Fitters headed for the 2 Tomcats. As they closed in on the Tomcats, the lead Su-22 fired an AA-2 Atoll AA missile. The missile failed, and according to US policy, "if fired upon, fire back". The Tomcats were cleared to engage. The lead F-14 pursued the Su-22 wingman, the other F-14 pursued the lead Su-22. Soon thereafter, when the Su-22 turned clear of the sun of the lead F-14, the pilot got a lock-on with an AIM-9 and blew him out of the sky. The other F-14 also used an AIM-9 to destroy the lead Su-22.
On January 4,1989 2 F-14A's from VF-32 from the USS John F. Kennedy were flying a CAP when a pair of Libyan Mig-23 Floggers were detected heading towards them. The F-14s already had a radar lock on the bogeys. It's common procedure under such circumstances to lock the powerful AWG-9 radar on the incoming Libyan fighters, to give them the possibility to turn around and head back home. Usually this procedure was impressive enough to drive the Libyans back since the radar warning tone resulting from an armed F-14's radar was fearsome enough. But this time, it didn't work. This was the 2nd time US Navy Tomcats were to engage Libyan fighters. During the 8 minutes of engagement, the Migs kept turning in on the Tomcats to maintain a firing solution for their missiles. As later examination of F-14 still photography resolved, the Mig-23's were armed with the AA-7 Apex missiles. After several evasive maneuvers by the Tomcats and aggressive maneuvers by the Floggers, the incoming pair of Mig-23's were declared hostile and the Tomcats were cleared to engage. The lead Tomcat fired an unsuccessful AIM-7 Sparrow, while the second Tomcat's AIM-7 found its mark and destroyed one Flogger. Then, the lead Tomcat fired an AIM-9, which exploded in the Flogger's tailpipes and destroyed it.
I hope this helps you out. GO F-14's FOREVER!!!!