This app was mentioned in 6 comments, with an average of 2.00 upvotes
https://play.google.com/store/apps/details?id=com.futureplay.boots
Here's a link if anyone wants to try it. Never played it myself cause I don't like mobile games but OP didn't include link so here it is.
Here's a neat interview with the creator about incentivized video ads and stuff. www.pocketgamer.biz/feature/62496/the-making-of-farm-away/
Farm Away but that may be less "farming" then your looking for.
On their facebook page, they responded to someone saying they plan to add the ability to choose what crops you get after each market day.
Right now it's completely random. I was playing this a few weeks ago and noted down a few of my observations here.