Let's make a "Like D&D, but ..." list
Let's make the ultimate list of OSR (and other) games that are somehow compatible with Dungeons & Dragons, but they are different for sake of being different.
Let me start with a few:
"Like D&D, but with Schrödinger's inventory." - Black Hack
"Like D&D, but more gritty and with vast rules for overland travel." - Forbidden Lands
"Like D&D, but the light and sanity are ESSENTIAL." - Torchbearer
"Like D&D, but the magic is WIIIIIIIILLLLLLDDDDD!" - DCC
"Like D&D, but f*ck it, GM solves everything." - Mörk Borg
"Like D&D, but the rolls actually make sense." - Whitehack
"Like D&D, but DC 11 is better. Also we found zealot
in a dictionary." - Five Torches Deep
"Like D&D, but we need more core rules." - OSRIC
"Like D&D, but with guts & blood." - Lamentations of the Flame Princess
"Like D&D, but let us explain, why we changed all the things." - Swords & Wizardry
Disclaimer: I am a huge fan of OSR games and love most of these games for various reasons, I just cannot get rid of the feeling that all of those OSR games could be described in above-mentioned way.