I've got one of those Zeniths too; and scores of TDK D90's. I've had quite a few of those TDK CD Powers as well.. Ditto for the Sony HF's. I have Fuji's too, but not not that particular model.
Beware: I once purchased a pack of those Sony's with the slide case, and they sounded awful from day one. Shed city. Other than that, all those cassettes will work just fine in your boxes. Hopefully at least some of your higher end boxes will be able to record on the Type II's!