Some of these have been implemented/fixed:
Add in Gen III move tutors
Unless this was something different, all tutors are on the move tutors page.
Put in more sprites in the gallery, such as back sprites, moving ones, spinoff game sprites, etc
Back sprites have been there for ages. Animated sprites are there now (only front so far).
Spinoffs I probably won't do.
Move TCG questions elsewhere
As I said in the comment, they are fine where they are.
Add a Meta users list for a direct link.
Done ages ago.
Perhaps raise the point limit to flag and vote from 80 to 200.
Points have changed around a bit, but they are fine as they are now.
Add a "kick" or and/or "mute" option to the chat room.
Make it so that questions can be exclusive to certain ranks of users (ex. questions, only Editors or higher can see)
Don't remember the reason for this but it probably won't happen.
Ban the use of softhypens for usernames, posts, etc.
Create a way to either delete posts (not to regular users, of course), or make them invisible to you when viewing. Being a mod, I run into the issue of having to see a ton of hidden posts, and even with the new page feature, it can be annoying to have to sift through all the hidden stuff before finding what I need. Sometimes I just log out and look that way.
Hidden stuff is deleted periodically.
On the flag list for admins, perhaps having a way to not show flagged things that are on a hidden page so that they don't pop up as much on the admin page.
For this the easiest solution is to simply hide the flagged post itself.
You cannot post "0" on the chat. (Jun 19) ("There was a server error, try again later." )
I am incapable of voting on questions, but I can vote on answers just fine. (all three sections "The vote arrow is green, but when I move my cursor over it, it doenst turn into an index finger, and clicking it does nothing.") (Swaggron, Jun 24)
I seem to recall this was fixed.