Black Sheep
Designed by Reiner Knizia and illustrated by the incredibly talented Ursula Vernon, In BlackSheep, players try to corral the best combination of cows, horses, chickens and more while avoiding the mischievous black sheep. BlackSheep is perfect for two to four players ages eight and up. -From the FFG website.
There's a lot of randomness here, but also room for elementary strategy. Players make poker hands from two shared cards (figurines of ranked animals) and three of their own (these are actual cards). There are three such hands playing simultaneously, with players adding one or two cards at a time to any hand on their turn. When all players have played three cards onto a hand, a winner is chosen, based on the poker ranks. The winner takes the two shared cards (animal figurines), and new shared cards are added. At the end of the game, scores are calculated by summing numbers printed on the bottoms of the figurines they captured and some bonuses. The black sheep figurines are worth negative points.