This is a cheat answer but I honestly feel that they're more or less equal.
Both had great performances and were written well for the most part. They both had stellar musical scores and visual effects. Star Trek was a fresher take on the material than The Force Awakens but to make up for that, TFA had a stronger villain in Kylo Ren than Star Trek did with Nero, who was more or less forgettable.
It's kind of funny how their sequels did the opposite of what those films set out to do. Into Darkness was basically Wrath of Khan Redux while The Last Jedi was about as different from The Force Awakens as you could get.
I guess if I had to make a choice I prefer The Force Awakens since I find it to be more rewatchable but I've always been more of a Star Wars guy than a Star Trek guy so there's bias there.
Interesting. I remember sitting through ST and thinking " Time travel AGAIN?!" but enjoying the performances of the leads enough to not care - and Nimoy's appearance, Kirk's green girl fling and the Kobyashi Maru were pure fan service, loved it.
Michael Giacchino's score was superb and even Chris Hemsworth did star turn in his minor role as Kirk's dad.
Also massive props to local boy Karl Urban as a note perfect performance channelling DF Kelley as McCoy.
Nero was indeed a very poorly executed villain, I usually like Eric Bana but he came off as laughable rather than either sympathetic or menacing.
Overall, ST is an enjoyable and exciting film that hits all the right ST notes and does a good job of rebooting the franchise.
Then, there's The Force Awakens. If I had never seen a Star Wars film before I probably would have liked it, a little. However, I couldn't shake the constant feeling that I had seen it all before.
This time Luke was a girl, R2D2 was a ball , Darth Vader threw temper tantrums like a 2 year old and Han Solo took on Obi Wan's job, oh and the Death Star had a winter resort built into it.
JJ made it a little different, certainly bigger, but without really adding anything new. Unlike the original trilogy, the leads had little chemistry and I just couldn't bring myself to care about them. I don't understand how Kylo Ren gets taken seriously as a bad guy - Darth Vader was menacing because he was nigh invincible and instead if throwing tantrums calmly and casually strangled his sub-par employees " Apology accepted." Kylo Ren gets whooped by Rey the first time she holds a lightsaber- I mean if JJ had her lose that fight or at least barely escape then we'd actually wonder how she was ever going to beat him.
TBH I prefer the Last Jedi, and while I hated Luke's story ( which was pretty much Obi Wan's, train your nemesis who destroys everything and then go into hiding) Mark Hamill's performance made it work. Luke's ending was a high note . Rian Jonson took a bunch of elements from Empire Strikes back and turned them around, which was interesting - although the entire sub plot involving Benicio Del Toro was unnecessary and could have been scrapped, making the film more connected.
But at least it was more original than TFA.
Moral of the story, sometimes fan service and nostalgia are enough to make a film enjoyable, so long as there's a little freshness - a little bit of newness injected into the old, but actual newness, not just dressing up the old stuff in bigger shinier clothing.
A female protagonist was a great idea, but her story is pretty dull because it's pretty much exactly the same as Luke's.
Okay, rant over, Stat Trek takes this by a wide margin for me.