Thomas Shey
Legend
I'm coming from a 3e table, primarily. Dice were for fighting and for cases you're forced to use a skill you aren't good at. Nearly everything else came down to creative spell use or invoking a system that output a specific result. There was a lot of leveraging the carry/drag numbers and we were really obsessed with maximizing movement speed, so we could outrun trouble. It was fairly rare that a skill check was actually at stake when the party had some control of the situation.
Well, I have to point out part of that is D&D spellcasting doesn't involve any skill rolls. Games in the D&D sphere are pretty unique in that fashion (and even then that ability to bypass everything with a spell comes relatively far along; early on if you need to climb something you're unlikely to have enough people with levitate and same for some oter things). I'm also guessing from you're first sentence you excluding Take 10's and Take 20's here, which largely exists because skills are so mediocre in a lot of versions of D&D and the big linear die that's the D20 doesn't help.