Accommodating intraocular (AIOL) assemblies (31) for enabling post implantation in situ manual selective displacement of an AIOL (33) along a human eyes visual axis relative to stationary anchor points. Axial displacement may be over a continuous range or alternatively at discrete axial stopping positions typically from about 100 mum to about 300 mum apart. Novels AIOLs designed to be at least partially folded for facilitating insertion into a human eye through a relatively small incision.