For me it's all going to come down to how the franchise is treated. Most of the various television series were decent, if not great. Same with most of the movies. The only Star Trek that I had a problem with were the reboot movies - ( I realize this is completely subjective, but ) the characters from the original series are too closely tied to the original actors who portrayed them. No disrespect to Pine, Quinto, Urban, etc, but they don't have the same chemistry as did Shatner, Nimoy, and Kelley. They never will. In my opinion, all Star Trek characters need to be played by their original actors, especially iconic characters such as Kirk, Spock, Scotty, McCoy, Picard, Worf, Riker, etc.
And no more re-imagining racial appearances like in the reboots - I was irked at the change in the Romulans, and outright angry at the new look of the Klingons. It was difficult enough getting used to the change in the Klingon appearance when TNG came out without changing things even further.