I haven't played many modules since usually I'd rather play homebrew campaigns; but I really liked Lost Mines of Phandelver. I experienced it as a player and not as a DM , but ad the end of the campaign I took a look at the book and references and seemed pretty easy to run.
For starters this is the best one.

I DMd only Hoard of the Dragon Queen and though I really love the setting and the overall adventure story, the module is badly organized and some references are missing.