Well it sounds like you're excited about this new cartoon.
I've always been a fan of the characters in a fun lighthearted atmosphere. I think the OVA was the perfect balance - mix of humor and very cool action scenes. AoStH is my personal favorite, despite the fact that it never really featured cool action scenes. Still, the Quest for the Chaos Emeralds time travel arc is one of my favorite pieces of Sonic animation. The animation was surprisingly good, it had the right mix of jokes and action. I was never a fan of SatAM, the pacing was off and the attempts at humor were cringy. I also wasn't a fan of the dark atmosphere. It felt like C-grade Don Bluth storytelling.
Underground is just garbage, though I do watch it from time to time just to laugh at how bad it was. When David of Sonic Retro stayed at my place for TooManyGames we watched an episode and it was a fun time for all the wrong reasons.
Sonic X was just weird. Like, it was so close to being a SEGASONIC cartoon, and then they fuck it up with Chris and awful animation. And not funny awful like AoStH, but obvious mistakes. They did attempt to adapt several games, though the end results were nowhere near as good as they could have been.
With Sonic Boom the TV show, we have a rebooted world, so no fear of a quasi-attempt to adapt the games like Sonic X, and it is nowhere near as big a change as SatAM or Underground. In fact, I'd argue it is more in line with AoStH and the OVA in the sense that Sonic and Tails (from what we've seen) are just chilling out and fighting Eggman. Eggman doesn't appear to be in control of the world like SatAM, he seems to be more in line with the games as a threat but not some super villain. My only concern is Knuckles, I'm hoping he is still guardian of the Chaos Emerald and that we see Angel Island. I'd be okay if he stumbles upon this role over the course of the show.
Also, the 11 minute length allows for stories that don't overstay their welcome. Most AoStH episodes could have easily been 11 minutes.
Anyway, consider me as cautiously optimistic, borderline excited for the show. As for the games, the Wii U one really hasn't impressed me yet, but I'm looking forward to the 3DS version which appears to have more replay value and length than Generations and Lost World 3DS.