I can give several:
1) Second Korean War: could've happened after a) the Pueblo seizure in 1968, Operation Paul Bunyan in 1976 (when two U.S. Army officers were killed by NK soldiers in the DMZ cutting down a tree-the U.S response was to send a small force to cut the tree down, but backed up by U.S. and ROK forces on the ground, a carrier battle group at sea, and USAF aircraft armed and either in the air, or on ground alert), the 1994 nuclear crisis (and the others since).
2) U.S.-Iran: Could have happened as a result of the Hostage Crisis (either from the rescue mission or the negotiations failing to get a deal before Reagan's inauguration; U.S. strikes against Iran as a result of the Tanker War getting out of hand in 1987-88 are another, and more recently, the Iranian seizure of two USN craft and the detainment of their crews for a couple of days.
3) U.S./UK vs. Syria (1958) This is due to the Lebanon Crisis and a related one in Jordan: U.S. Marines landed in Beirut, and a UK Parachute Brigade went to Jordan. Syria squawked, and there was quite a bit of firepower in the region (USAF tacair in Turkey, two Sixth Fleet Carriers, and the RAF in Cyprus).
4) Black September: King Hussein appealed for help in dealing with the PLO over the hijackings to Dawson's Field in Jordan. The Nixon Administration sent Marines to the Eastern Med along with two carriers, there were British moves to Cyprus and the Eastern Med as well, and the 82nd Airborne was actually preparing for a division-level jump into Jordan to support the Jordanian Army. The Soviets made some moves with their Navy's Med Squadron, supposedly had Airborne forces alerted to move to Syria to support the Syrians, etc.
5) And a wild one: The Oil War of 1973-? After the OPEC Oil Embargo in 1973, there was serious consideration at the White House and in DOD of actually invading Kuwait and Saudi Arabia to seize the oil fields and get the oil flowing again. Fortunately, Nixon and Kissinger rejected such proposals.