Which lenses autofocus on a D40, D40X, D60 or D5000?

The low range Nikon cameras D40, D40X, D60 or D5000 can only autofocus with lenses with built in motor, for example Nikon's own Silent Wave Motor (SWM). These cameras lack autofocus motor themselves - something which makes them smaller, lighter and cheaper.

Nikkor lenses with "AF-S" in their name should auto-focus on these cameras.

Sigma lenses with "HSM" (Hyper Sonic Motor) in their name should auto-focus on these cameras.

There are also a number of Tamron lenses that should auto-focus on these cameras, but I have not found any reliable way to tell which ones. The secret letters to look for may be "di" (digitally integrated), but there seems to be no confirmation that it is a fool proof sign.