All the Ribes (red and black currants, Jostaberries, gooseberries) will layer naturally if a branch touches the ground. Can't help you with kiwis or mulberries but since kiwis are a vine I imagine they would layer too.

Thanks, flora, I just walked past my ribes (one of each of the ones you listed) and was thinking I should have asked specifically about them, too.

With black currents where I live one can literally prune off 12" in the late winter or spring and plunge it into the soil where one wants a plant and it will grow.

cousinfloyd,yes kiwis will layer but they take a few months to do so.I find the kolomitka will root with no root hormone but the arguta benefit from a little IBA hormone.I usually bend a cane to the ground and put a rock on it.Grapes root well with no root hormone as do raspberries and blackberries and as mentioned above goose berries and currants.They say mulberry root well also...I am doing it right now and I will let you know how well it works.
Glenn

Although I have airlayered muscadines for several years, this was my first year to airlayer mulberry, pom, and fig branches inside of pvc pipe compartments. More than half made it. I also tried some other enclosures. I would type up a detailed account if you want.