I used a system called Ceiling Max in a basement bathroom and hall
It lets you use regular suspended ceiling tile (I used 2 x 2) but they
are mounted right against the bottom of the joists and can still be
removed from below.
It won't work if you have anything likes pipes running below the
joists, and is a little fussy to install because you have to shim the
mounting strips to be even or the ceiling will look wavy. But I am
happy with the result. In my area, both Home Depot and Lowes carry the
standard pieces. I had to order a few special items direct.
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