I skipped season 1 entirely and watched all of season 2. I agree it was engaging but...
- The level of technology was ridiculous on Discovery, and there is still no explanation for where it all went before Kirk's Enterprise took off on it's 5-yaer mission. Star Trek Enterprise never did this damage to canon.
- Disappearing 930 years into the future was interesting, but still doesn't explain my #1 beef.
- I didn't see why somebody above claimed the invention of, and eventual disappearance of, the spore drive was explained. This strikes me as the #1 anachronism in STD.