Of course we have farming worlds: that's the basis of economy worlds. Step 1: Make one of your high classes planets go up to about 16-20 billion people and then biuld economy biuldings all over with the occasional morale building to keep them happy. Step 2: Rake in money.
But those are not farming worlds, any more than the 2 factories many players typically drop on a planet so everything else builds faster make them all manufacturing worlds. It never takes more than 3 farms to get up to 16-20 billion population, once you've upgraded to decent farms - and that's with Yor, whose best farm only makes 3 units of food.
A true farming world would have lots of farms on it, not just enough to get up to the population happiness cap and then all economy buildings. It would provide food for other worlds in your empire, much as your research worlds learn about planet improvements for the other worlds in your empire and your manufacturing worlds build fleets to protect the other worlds in your empire. Sadly, with no mechanism to transport food, this is just a pipe dream - which makes stuff like the Food Distribution Center utterly worthless - any world that would benefit from a FDC more than another farm has not even the slightest need for either one.