The third one was really what i wanted for so long, your suggestion are exact amd awesome.
My suggestion would be having achievement for playing or winning against bots too. You covered almost everything I wanted, i hope they revert back you soon and consider making changes.
I've sent these to chess.com, and I want to know what you think.
1. linked achievements. this won't work for all of them, but it would be nice if you could click on an achievement, and it had an option to go earn it. i.e., "train your brain" takes you to drills, "participant" takes you to forums, "puzzle beginner" takes you to puzzles.
2. more medium-level bots, and more achievements. most of the players on the site are below 1700, so who doesn't want more 1200-1600 bots? and if you don't want more achievements, you're not doing fun right.
3. something to show how close you are to an achievement. I have done over 1,000 puzzles, but I have no idea how close I am to puzzle veteran. I have got probably 75% percent of those right, but I'm not sure.
feel free to add more suggestions or tell me how awesome mine are.