My thoughts...
1. No to a 'new' TOS (Kirk) series. We've already had that show- it was TOS.
2. In the same vein, I don't understand why they went 'small universe' with SNW and peopled Pike's Enterprise with M'Benga, Chapel, and Uhura. The only three characters that needed to be there were Pike, Spock, and Number One. Now, once again, they are stifling their story opportunities with the other characters.
3. If we want to visit an area that is largely untouched, I like the post-TMP, pre-TWOK era mentioned above. NOT with Kirk and co. If you wanted a link to the old, set the show aboard another Constitution-refit class starship and make Sulu the XO. Alternatively, take a smaller ship from that era (Like a FASA Baker Class Destroyer or something) and make it Sulu's first command. After all, it's not reasonable to expect that they'd hand Excelsior over to someone who's never held the center seat, years later.
Or, take that idea and use ZERO original cast members in any way, shape, or for, which would probably be even better. In fact, we wouldn't even need to see a cast member or character from any other show- just be free and clear to do your own thing.