Methods and systems for performing laser-assisted surgery on an eye form one or more small anchoring capsulotomies in the lens capsule of the eye. The one or more anchoring capsulotomies are configured to accommodate corresponding anchoring features of an intraocular lens and/or to accommodate one or more drug-eluting members. A method for performing laser-assisted eye surgery on an eye having a lens capsule includes forming an anchoring capsulotomy in the lens capsule and coupling an anchoring feature of the intraocular lens with the anchoring capsulotomy. The anchoring capsulotomy is formed by using a laser to incise the lens capsule. The anchoring feature can protrude transverse to a surface of the intraocular lens that interfaces with the lens capsule adjacent to the anchoring capsulotomy.