The Purge movies became quite the cultural thing. I'm fairly certain that even people who never watched the movies are familiar with the premise. And I have to admit, that premise seems ripe to be exploited in a TV show. And yet while there is so much time to explore characters and backstories ... the first season feels quite flat.
Still while you get something more on their background, it does not feel enough to warrant certain things. First season almost entirely plays out during the Purge Night ... some flashbacks yes, but overall probably at least 90% are the night itself. And that is something that season 2 does way better. You start with the end of a purge night and then see the consequences of that ... that carry on for a year ... but even here you have flashbacks! So the season 2 is way more rewarding, dealing with a lot of issues and generally speaking the better season of the two. Not just because an apparently well know cameo in the last episode of the show! And as it looks the last episode overall. Another movie is supposed to come out (or should have been released if it wasn't for the Covid thing, you might have heard about that), but it seems we are nearing the end ... let's see how he movie is going to wrap things up. The show could have done with another season (imho)