The way we define a minigame is a server that has no progression, while a game is a server that allows you to slowly progress through to ranks and unlock more stuff down the line. While this definition may not fit all games, it does define the complex Minecraft environment quite well.
Using this definition, the following server types are categorized like this:
Minigames: BedWars, SkyWars, KitPvP, PracticePvP, BuildBattle, Cops & Crims, etc
Games: Survival, Factions, SkyBlock, Prison, GTA (as you can buy homes and stuff), SkyPvP, Anarchy (we all love 2B), Creative, Acid Islands, etc.
So yeah, we actually do want to open more games first, and then minigames later, but we also want to make sure that we have our own touch on each new game we create. For example, our skyblock would be a game, as you would still have your own island to build on, items to progress through, etc.
I meant "games" and "minigames" interchangably. From my experience, me and my friends like more survival-based games, such as, well, Survival. Games such as PVP Games and other minigames/games, according to your definition, just aren't interesting. Varun's point also has value, as it's been shown that plugins have done some bad stuff to the server. Are we ready for a new gamemode yet?
Why are all the gamemodes in "Going Forward - Our Plans" minigames? A lot of the people I know are hostile to minigames on the server. This just seems to go against the general philosophy. Hopefully we can get more details in the future to change our minds.