Might be a stretch, but King's Knight does involve destroying a lot of natural rock formations so that could fit the bill of "things like digging"

Frick Frack! It's basically Dig Dug with a Papers Please-like on top.

https://youtu.be/33U3rdWk_TY

Manic Miner has nothing related to digging, same with Miner 2049er. They’re loosely themed around mining, but all you do is jump over threats, grab items, and reach the exit.

I’ll nom Drihoo, Cortex Command, and LEGO Rock Raiders, though. They all have a big focus on digging and harvesting resources.