There are several other instances where speed was acheeved which was rather fast, but, they don't actually have a name like "Warp" whatever.
I'm not sure if that is/should be included here, but I'll mention a few just in case...
Q, just snapped his fingers. Numerous References.
BORG, did it via Conduits. Numerous References.
DOUWD, unknown application. TNG The Survivors.
CYTHERIAN, possessed Barkley and Enterprise Computer. TNG The Nth Degree.
NACENE, (Caretaker) had an Array. VOY Caretaker.
GOMTUU, did it through centrifugal force, I guess ? TNG Tin Man.
ALDEAN, via their Custodian computer. TNG When The Bough Breaks.
TRAVELER, co-effort between Enterprise Computer and his Mental Ability. TNG Where No One Has Gone Before.
OCAMPA, when Kes moved Voyager out of Borg space in VOY The Gift
I guess one could call all of these Transwarp ?