I purchased an ex-demonstrator 69 plate Honda Jazz straight from the dealer and this only came with the compressor and foam. As others have pointed out, the wheel well in the boot that previously held a spare wheel is no longer deep enough to do so on the later Mark III Jazz models and does not therefore have a fixing point to stop it moving around or coming free in an accident (there are a number of previous topic threads about this matter if you look back).
Having said that, I purchased a space saver spare wheel and put it into the wheel well with a lot of sheets to prevent it moving around and have also secured the compressor, foam and a Honda Jack in with it for good measure. For safety, I secured the space saver wheel with 4 ratchet straps connected to the 4 tie-down points in the boot. The thin floor carpet board that covers the wheel well now projects very slightly above where it should be and is not perfectly flat, but I have covered this with a Honda Jazz boot tray so it is not visible and doesn't present any problems with shopping etc.
It works extremely well for me and gives me peace of mind for all my journeys. In the event that I go on long trips away lasting a few days or more (rare), I take a full size spare wheel with me for good measure and also tie this down with ratchet straps.
Perhaps I'm being too over cautious on this and from what I have read, the foam and compressor will fix most punctures, so please don't be too fearful if you just rely on this. Furthermore, many breakdown companies now carry multi-fit spare wheels for an emergency.