I like Demigod. I pre-ordered the game and participated in the beta. While it is an enjoyable game, I feel underwhelmed by the final product. This game will appeal to players who enjoyed DotA (the Warcraft 3 mod known as Defense of the Ancients) and players who like real-time strategy games.

On the positive side, Demigod is an attractive game with a unique art style. It's not the standard Lord of the Rings / Dungeon & Drag on s art style. The Demigods are all visually interesting and well animated. The cannon fodder soldiers are fun to watch and slay (minotaurs, angels, etc). Players have complete 360 degree control over the camera with a zoom similar to Supreme Commander, another game from the studio Gas Powered Games. Levels (Arenas) are stunning, each seems to have its own untold story, from Mesopotamian ziggurats to alien prisons. The fiction behind each individual Demigod is entertaining and original. I recommend you read the biographies in the game or the more detailed biographies at http://www.demigodthegame.com/origins/
Now to the negatives. There have been multiplayer connectivity issues during launch. Many of these problems have been solved, eventually I am sure connectivity will be stress-free. The bigger issue is the shallowness of the game. Some will argue that as a multiplayer game with human opponents and different victory conditions, Demigod has replayability. Yet, I found the opposite true. There are only 8 Demigods. There are only 10 levels. There is probably only a couple of dozen weapons and unique items.
This game could have been, should have been, more enjoyable - more levels, more Demigods, an editor to enable player designed levels and weapons, etc. After five or six hours of play, I find my enjoyment has leveled off. Some blogs have reported that DLC is in the works but for a full-priced retail game, I expected more at release.
I find Demigod leaves me with the same feeling Space Siege did. Impressive first impressions, strong visuals, strong audio but a vacuous feeling develops the more you play. You wonder if it was worth $35-45 retail for the experience.
My advice: the game is worth playing but only if you can purchase it below retail.