Star Trek never went into unadulterated, infant-focused products such as Episode I, II, and The Clone Wars. Yeah, there was TAS which was a Saturday morning cartoon, and the boring Motion Picture and elements of TNG and its successors that were also a bit boorish, and the new reboot was crap...but Trek has never had a "Jar-Jar" moment. In that sense, the franchise is "better".

However, as is acknowledged here, there really is NO COMPARISON of the franchises beyond their similar sounding "Star" titles, space-themed settings, and use of spaceships and high technology. etc. Star Wars is "Space-Fantasy" and Star Trek is Science-Fiction, yet both are, in their own ways, equally enjoyable and similarly faltering.

Personally, I think the Trek franchise is, in total, better, but nothing is as enjoyable, "fun", and influential (to my own daily life) as "Old" Star Wars.