So with Flash being gone again, I thought I'd update this with some things I've found out today.
First off, the link to the classic Games room I posted previously is no longer working. Instead, you can access all the games via this link:
https://www.neopets.com/games/category.phtmlHere are some links that let you do some of the Flash mini-games that I previously had no clue existed. (I ignored the posts on the neoboards because I thought they were just people still playing with Flash, but I was seeing them still active today and investigated, and ran across these.)
Qasalan Expellibox (7 hours 7 minutes, free)
Test Your Strength (6 hours, 100nps per play)
Bagatelle (20x per day, 250nps per play)
probably not worth it, as it wasn't really before, but...Cork Gun Gallery (20x per day, 100nps per play)
no ability to "aim", probably not worth itCoconut Shy (20x per day, 100nps per play)
no ability to "aim" but you can pick which coconut to try for:
Coconut 1Coconut 2Coconut 3Coconut 4Coconut 5All of the above will bring you to a page with a bit of text at the top. If you read around the extra mess, you can see the results.
There IS a way to play SOME games still, apparently. Please note: I HAVE NOT TRIED THIS and I DON'T KNOW HOW SAFE IT IS. I also don't know how legit it is. Honestly, I'm not sure if I will try it (or post the instructions here yet), as TNT hasn't come out and said it's OK, whereas they had previously said that playing with an older browser/older flash version is at your own risk but not against site rules.
If you use the above method to try and play flash games, you'll still probably run into the issue where you have to refresh a different page on Neo before sending score - since the site seems to need to verify you're real every 3 minutes.