Intraocular lenses (IOLs) that improve lens stability by, for example, increasing anterior-posterior stiffness of the IOL, increasing anterior-posterior dimensions of the IOL and/or increasing contact area with the equator of the bag to resist movement of the IOL as the bag collapses over time. These IOLs may be non-modular (single component) or modular (multiple component). In modular embodiments, the IOL system may include intraocular base and optic components, which, when combined, form a modular IOL.