For years I remembered playing some sort of farming game. I remembered the board and the cut-out animals. But I couldn't remember the name of the game... until I searched for FARM in eBay. Market Day was the name of that game and I've just purchased one for my daughter.
For ages 5-10. For 2-4 players, Market Day contained tractor-shaped playing pieces. You moved around the board collecting animal cards. Once you had four or five cards of a particular animal, you were allowed to land on one of the Market Day squares to redeem your cards for one of the cut-out animals. These cut-outs were placed in the corresponding spot in your selected 'farm' (one of four in the centre of the board).
Watch out for run-away animals and flat tires!
The winner was he who completed his farm with one each of horse, pig, sheep and cow.