Gearbox off first, then up through is probably the route I would go unless you want to get involved with seized up subframe bolts and steering etc.
Others may give different advice
Generally speaking it depends what job you are doing on the unit, but normally there is not enough room to lift engine out on it's own these days.
If it was me I would have it on axle stands, disconnect suspension and drive shafts then gearbox out underneath and engine up through the top.