After searching the internet for a while, I was finally able to find the 4 OVAs and watched all of them. I honestly wasn't expecting anything when I found them and I'm not even sure if I'm disappointed either.
The Best Games OVAs are just digital remasters of the "best" 4 games in the anime. Whether or not the Tezuka/Atobe, Fuji/Kirihara, Oishi/Kikumaru/Niou/Yagyuu and Inui/Kaido/Shishido/Ootori matches are considered the best is subjective, but they were some of the more interesting games that didn't involve Ryoma. I enjoyed the fact that they stuck true to the original source materials and it was a pretty big wave of nostalgia
to watch these old matches be remastered.
In terms of story, you'd need to either read the source material or watch the original anime to understand what's going on. It doesn't make much sense if you watch it without at least knowing the source. It kind of falls flat on that regard, but most people who will end up watching these OVAs are people who have seen the original. The animation and art are a lot better than the original anime but it's pretty average for the standards when these OVAs were released (2018). They reimagined how to portray these matches and I liked that it was a bit different, now that the technological limitations of the early 2000s aren't really there anymore. I felt a similar level of excitement watching these OVAs that reminded me of my initial reactions when I watched the anime more than a decade ago. There were some awkward CGI moments, but I found you can ignore them if you don't look for them. The new character songs used in the OVAs aren't bad, but they're not that memorable either.
Overall, it was fine. Can't say I'm disappointed, but I'm also not impressed either. If you need something to satisfy the TeniPuri nostalgia, these OVAs would be the perfect thing.