The only way to improve Flash would be to contribute to Gnash's development.
There's not what you can do there. The best you can do is explain that Flash
is nonfree, spies on users, and is outdated, though some older Flash games do
work with Gnash (and a lot of Flash videos).
If these kids haven't seen them before, introduce them to the many games on
the repo that can be installed. Some initial games to mention might be
SuperTux, SuperTuxKart, Ceferino (Pang), Kapman (Pac-man), Gwled (Bejeweled),
LTris (Tetris), LBreakout (Arkanoid), and GNUjump. There's also Secret Maryo
Chronicles which is great, but an upstream bug causes it to not work without
creating /usr/share/games/smc/campaign manually (e.g. "sudo mkdir
/usr/share/games/smc/campaign").
The kids can then browse the Games section of Add/Remove Applications
themselves. The only drawback would be needing to get an administrator (e.g.
parent or perhaps older sibling) to type their password to accept the changes
when they want to install new games.
By the way, this isn't a game, but every kid should know about Celestia,
since it's really cool. :)