Did you make any of those models? They are very good. I have never understood these games at all, I wouldn't have the first idea how to play but it looks fun.
Some of them are model kits for train layouts that I assembled and painted, some of them I built from scratch out of prefabricated 4x4" architectural kit pieces. The ruined buildings are cast resin. I did paint and detail everything myself though. And all of the miniatures are hand painted except for the robot looking guys.

Those come with the paint job already done. The camera flash generally bleaches out the paint jobs a little so the figures in the pic above look a little flat. In kinder light they look more like these:

I also do quite a bit of "Scratch Building" stuff. The piers and the lower warship here I built from scratch:

Mostly it's a matter of taking toys or model kits and sort of "Bashing" them into what you need. It's sorta expensive and time consuming, lol.
I H5'd you cause the US won -- is there a website that explains these games?
There are a slew of websites for individual games.
How it works is that each player gets a "Unit" that could be a squad of guys or a couple of tanks, ect...
There is a handout sheet that goes along with the units that details how far they can move per turn, what kind of weapons they have and what they can do. Movement is in inches across the tabletop, as are ranges for weapons.
When their turn comes up, they decide where they are moving, measure and push the guys around. When they fire at an opposing player ranges are measured against the values for the weapon and dice are rolled to determine hits. Another chart tells you if you wounded, killed, or screwed up your targets morale. When a figure gets "Killed" the miniature is pulled off the table.
There are victory objectives. (Take this or that piece of terrain or hold this position for so many turns, ect...)
Events usually run 3-4 hours depending on the size of the game. We had 10 people playing 10 different units on both sides in the game we ran this weekend.
I started doing WWII games 10 years ago and switched over to the stuff you see above about 5 years back. My partner and I are going to have a set of gaming rules in print and on sale by late fall, God willing, lol.
What in the wide world of sports are you doing?
Running events at a Miniature Gaming convention this weekend.
Table top gaming with painted figures and terrain.
Embracing my inner geek. 
Wow, where was this at? I grew up there (went to Aloha HS) and raised our kids there. It's only been a few years that we moved to Douglas County.
Cindie
Lincolshire Illinois is where the convention is.