Plenty of large “tall station wagons” are unibody. About the only legitimately capable offroad 4x4s I know of that are unibody are the Jeep Cherokee (the old one) and maybe something like a Suzuki Jimny (edit: nope, even that tiny thing is body-on-frame).

(Consider the difference between a (unibody) Toyota Highlander and a (body-on-frame) Toyota 4Runner, for example: only the latter is a “real” SUV, in terms of being capable off-road.)