In its original incarnation the grind was quite excessive. There really only was the three pillar activities to do, and only a handful of ways to accomplish each of them (if you're lucky). Nowadays I'm finding multiple ways to just chill while playing Elite.
If I get bored blasting things resource sites, I might go do missions; there seems to be a decent variety there these days. If missions get boring I might just drop down to a planet and SRV around looking for random signals there to mess with (low grav worlds for maximum SRV trick score, wooo). Or I might rummage around in unknown signals in space while interdicting targets of opportunity. I just came back from a run to Sag. A and that pretty much drained my exploration tank for a while, but I still look around on the galaxy map and get the itch to head somewhere interesting for screenshots.
And yes I get that all of that is still, technically, a grind. But at least it's not JUST one type of activity to scratch each of the game's itches (combat, exploration, trade).