Enjoying the series quite a bit, actually. And so are my kids. The anime touches sometimes work, and sometimes not so much....but I enjoy their inclusion. It gives Teen Titans it's own voice, so to speak, compared with Batman, Superman and Justice League. With three episodes down, the animation is good, the stories are solid, and the show is fun.
Justice League runs hot and cold with me. Some episodes are great, like the ones using the Fourth World characters (that could have easily gone another episode). The Vandal Savage arc was good fun, and the Injustice League was excellent. Some were not very good at all, such as the whole Atlantean mess.
The biggest problem I have with Teen Titans is a minor quibble, in that they're a concept dependent on outside sources to explain them, even though that continuity can't technically exist. I'm sure it's no accident that only one of the characters on the animated roster can be tied back to a character outside the show, namely Robin. Beast Boy can, of course, be tied back to the Doom Patrol, but only die-hard comics fans would know that. The bulk of the material that the animated series is from the series second run, not it's first.
Considering that the source material is over 20 years old, now, it's aged pretty well, with only minimal changes. Raven was Goth before the term existed, so it's a pretty natural transformation. Starfire is less of the sultry engenue, and more of a naive sweetheart (and none the worse for it). Beast Boy...is still pretty much the same. Cyborg is a little more marginalized...and is now more "angry-lite" than angry.
The biggest modification, of course, is that some characters are anywhere from 2 to 5 years younger than the same characters in the 80s run. Considering the target audience that they're probably shooting for, that's not a bad idea.
I'm looking forward to future epsiodes, and see where they go with Deathstroke.