I was introduced to flyweight RPGs a few years back and I absolutely love what they can do in the hands of a creative group.
Roll for Shoes is about as minimal as it gets. You will need one D6, and something to track player inventory. The game world is best started by the GM in the abstract, letting the players fill in the world's details through creative use of questions that prompt die rolls. This is fantastic for players that want to stretch their improv skills.
Lasers & Feelings has a tad more structure. Everyone has exactly one stat that sits on a spectrum of "lasers" to "feelings". The difficulty of challenges in the game sit on the same spectrum. Depending on the nature of the challenge and what the player's stat is, a single D6 roll decides the outcome. Everything else is role-playing in what is encouraged to be a Trek-like setting.
In my experience, Roll for Shoes usually turns into a cartoon-esque "let's see what else is in my backpack" affair, that usually ends with everything on fire (because of course it does). Lasers & Feelings typically devolves into Lower Decks. All of these are positives in my book - I'd play again in a heartbeat.