Not sure for other types but the Bus has a ACARs page called OOOI (Out, Off, On, In)
Yes, those four messages are pretty well universal for all commercial airliners.
Interestingly, OFF time actually only gets auto recorded when you have a GS>2kts
The Off message means wheels lifting off the runway (usually triggered bythe squat switches), so you'd be doing well to manage that at under 2 knots, unless you're flying a helicopter.