Are you talking about playing on Brutal difficulty? If so, the news article that introduced the 10th Anniversary achievements overtly stated they would be quite difficult on Brutal.
So looking at these on Normal difficulty:
It is officially bugged but the community has found ways to get the achievement by doing a speed run.
Indeed the Laser Drill can’t kill the Xel’Naga Shrines. However, you can play it once for the research, then play it again in the Archives for the achievement. That way, you won’t loose anything in the campaign.
Killing the 3rd base (top base) first will stop all Zerg attacks on the Terrans. Once it’s destroyed it’s no longer a timed mission.
Kill all buildings and units.
It is the Interceptors that are causing it to fail.
Many people have gotten this one. The issue is that the criteria aren’t very clear. Try saving one enemy unit to kill after you kill Narud.
Understand that these are bugs. They are not going to be broken forever. And with all the reporting that’s been going on (Kyrie’s post, my post), Bliz definitely knows about them.
I don’t feel the same way about the order of the achievements. For fun, I’ve been going through them from top to bottom as best as they can be. It’s making me do things in an order I’ve never done before which is a fun experience.
As for which category opens, I don’t think it’s a big deal myself. Having the Liberty category open when playing WoL makes sense. Should people playing for the first time always have the Anniversary category open for them? In other words, how can the game know what you’re doing?