Ok, I found a pretty interesting game called
The Battle For Wesnoth. It reminds me a lot of Heroes II back in the days (though, it's not exactly the same). There is a heavy luck factor (i.e. to hit units depending on what tile they are on: water, mountain, grassland). Daylight and Night time bonuses to different kind of units (lawful (+25% damage at daylight, -25% at night and chaotic(the opposite of lawful) and neutral units are not affected by thoose). 6 races, nice graphics, good music, there is even a
official FREE online server and the developers support the game (make patches, improve graphics etc.) Try it!
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Just because I happen to have tentacles, it doesn't mean that I'm into Japanese schoolgirls!