What do you think are the best games for modding? Of course Minecraft. What else? I'm thinking especially in terms of modding as a way to get into programming.
ModDB is also a great resource (was, not sure if still the best), you can figure out where the crowds are at based on levels of submission and discussion activity there.
PS Minecraft modding is an interesting example of where those commercial revenue-focused practices have bled into the modding scene. Never have I seen so much adfly, patreon, and general money-making motivation within a modding community. I doubt it's the only one that suffers from the issue, but it's notable.
Edit: In terms of getting into programming, you can create mods with custom scripts you write to change the behavior of the game.