Fragmentize Another 1-mana answer very similar to Natural State, Fragmentize has been a potent Vintage card ever since it was printed
This might not seem like a lot, but on a six-sided dice the increase of just one is a lot more impactful than on a 20-sided dice
If there's a cost associated with having Ursine Monstrosity attack the chosen player, you aren't forced to pay that cost, so it doesn't have to attack that player in that case either
Bebop, Skull & Crossbones | 1 Colorless Mana, 1 Black Mana, and Rocksteady, Mutant Marauder | 2 Colorless Mana, 1 Green Mana Legendary Creature Boar Mutant/Legendary Creature Rhino Mutant Partner with Rocksteady, Mutant Marauder (When this creature enters, the target player may put Rocksteady into their hand from their library, then shuffle.) Deathtouch Whenever Bebop deals combat damage to a player, you may draw X cards, where X is the number of counters on Bebop
That might not sound like much, but remember that some of the best MTG cards ever cost one or less mana
Karmic Guide is another white reanimator creature that very nearly made it to the list, but given we only have twenty slots, something had to be cut