I've personally read DP 7, Psi-Force, and Star Brand. Of those, only DP 7 was unequivocally good, and even then, only up to a point.

That being said, I've enjoyed the later iterations of the New Universe properties: Valiant's Harbinger borrowed heavily from both DP 7 and Psi-Force, I liked the New Universe one-shots Marvel did to renew the trademarks in the 2000s, and I adored Warren Ellis' Newuniversal until it ended abruptly.

I enjoyed Jim Shooter's explanation of what went wrong with the New Universe more than I did the NU itself (Shooter's initial idea was a clean reboot of the Marvel line). 

I thought it was weird to have the NU described as "the universe outside your door" and then have characters like Nightmask and Justice in it (although Justice was later retconned as not actually coming from another dimension). 

I enjoyed some issues of Star Brand... not so much for the stories, but for the little bits of "real world" that crept into it. Things like its main character flying standing up instead of adopting a Superman pose, or his being unable to find Earth again after being shot into space. (He eventually managed to do it by flying back toward the brightest star he could see, assuming it was the sun, and then orbiting it until he could see our planet. Lucky for him he was thrown along the ecliptic and not at 90 degrees from it!)

Merc is also an odd bird, in that it ends celebrating the brave rebel group that would one day become... the Taliban. 

   

I remember the excitement and speculation about this venture back then. No one was entirely sure what this would mean for the MU or how it might impact it.

When it was released, I tried Star Brand, Psi-Force, and Spitfire & the Troubleshooters. I didn't stick with any of the titles for long though. Recently, I was surprised to find that I had Kickers Inc #1. Yet I don't remember buying it nor even reading it!

When Hickman began using certain NU elements in his Avengers magnum opus, elements based off of Ellis' NewUniversal project, I did check that out and really enjoyed it, eventually buying the one-shots and the two issues of the sequel.

I think it's good that there are still NU elements currently in use at Marvel. A Starbrand and Nightmask are still around and Blur from DP7 is a member of the current Squadron Supreme the last that I saw.  

It was an amazing start, but then Ellis claimed his computer came down with a virus and he'd made no back-ups, refusing to re-write anything, and the series just sort of...ended.

It was in trouble from the start, really.

And yes, I think there's a lot of NU in early Valiant.

I loved Kickers Inc ... fml...

If memory serves, Shooter's basic reason (at least creatively) for wanting to reboot the Marvel Universe was that he felt that Marvel had remained too indebted to Jack Kirby's creative vision. I'm not sure how much the lawsuit played into that, but I both strongly disagree and agree with his basic premise. Kirby's creations have lasted and remained prominent because they were so good and universal in appeal, but their continued existence was never the problem. The problem is that creators learned from Kirby's example and stopped giving Marvel all their best ideas. Marvel only has Marvel to blame for this. This goes beyond Marvel, of course. From my perspective, you should at least partially own anything you create. How much of a percentage should be based on the valuated risk of production, marketing, etc.