If I have to run any sort of game that feels anything like Dungeons and Dragons, it's going to be Dungeon World. This is the perfect RPG that has all the elements of classic D&D lore and feeling, and for whatever reason just exudes the flavor I felt playing D&D as a kid 30 years ago.
Additionally, it's a great starter system for anyone familiar with classic RPGs, but looking to get into the Apocalypse World style of GMing and games. The book reads partly as a how-to for the system itself, but so much of it actually reads as a how-to for GM-ing in general. The advice here is great for running almost any role playing game.
Absolutely fantastic game.
[5 of 5 Stars!]