There's a different farming sim out there for every type of gamer (except for those that hate farming sims, that is). There are realistic simulators, and then there are some that don't seem to have all that much to do with farming. There's Harvest Moon, FarmVille, and the list goes on. Producing a farming game seems to be a winning strategy regardless of platform, so now Supercell (developer of Clash of Clans) has ported its wildly popular iOS game Hay Day to Android, and it's available for free.
Hay Day isn't particularly complex. Players run a farm on which they grow the usual plants and raise adorable animals. They can sell their produce, go fishing, bake goods, trade with friends, and run ads to spread word of their products. It has the mix of being addictive, free-to-play, and easy to learn that leads to tons of downloads. Now that it's available for Android, here comes many more.
Though Hay Day is free to download, there are in-app purchases to deal with. Thankfully, you can disable these in the game's settings if you're not interested. Enjoy.