I trained in Shuri Ryu for several years, under two different teachers, and enjoyed every minute of it.
Twend wrote up a pretty good summary about the Shuri system, so I'll just add a few points to it.
The system was bequeathed to Robert Trias' daughter, Roberta, after his death. For one reason or another, the system split into two factions, one headed by John Pachivas, and the other headed by Roberta Trias-Kelley, and those two factions are still going strong. Robert Bowles now leads the Pachivas faction after Pachivas' death back in the 90's.
The kata in the system are a mixture of Trias' creations (Go Pei Sho, Dan En Sho), as well as ones commonly practiced in other systems (Naihanchi, Sanchin, Bassai Dai, Empi, Kanku Sho, as well as Nandansho / Nijushiho, Ten Sho, etc). The ones that are shared with other systems are still significantly different, but that does not dilute the learning in any way, shape, or form.
If anything, the kata tended to be more circular than their Shotokan equivalents, and gave me an interesting insight into things. Regardless of whether they originated from Trias or not, interpretation of the kata is strongly emphasized (bunkai / oyo), and the students are expected to understand the kata from both the performer's point of view, as well as the attackers' points of view.
There's a good bit of grappling involved in the Shuri Ryu training, too. It can certainly be argued, that Shuri Ryu is a well-rounded system.
The way I see it, if someone trains under a competent Shuri Ryu instructor, I see no reasons why he couldn't be just as good, if not better, than someone training in Shotokan, Wado, Goju, Isshin, etc. The chief instructors of the system are all excellent teachers, and I would have gladly stayed with the system, if there had been a school in my area after I had moved.
If someone can trace his lineage back to one of the chief instructors, current, or deceased, then for all intents and purposes, that's good enough for me. Trias left behind a solid group of strong Karate teachers (Roberta Trias, Pachivas, Bowles, Abele, Benson, Awad, Rabino), and the style continues to grow to this date.
Of course, this doesn't include the ones who were tossed out of the organization...