Finality counters work on any permanent, not only creatures
March of the Machines Multiverse Legends bonus sheet boasted two notable Cats on it, the first of which is Kaheera
You set it on a repeating schedule every 1, 2, 5, 15, 30, or 60 minutes and walk away

Drawing Cards with Nymris | Commander | Jason Alt Commander (1) 1 Nymris, Oona's Trickster Creatures (21) 1 Brazen Borrower 1 Brineborn Cutthroat 1 Crafty Cutpurse 1 Cunning Nightbonder 1 Dream Eater 1 Hullbreacher 1 Lochmere Serpent 1 Naiad of Hidden Coves 1 Nimble Obstructionist 1 Notion Thief 1 Opposition Agent 1 Portal Mage 1 Slitherwisp 1 Snapcaster Mage 1 Spectral Sailor 1 Stunt Double 1 Thassa's Oracle 1 Torrential Gearhulk 1 Venser, Shaper Savant 1 Voracious Greatshark 1 Wavebreak Hippocamp Planeswalkers (1) 1 Jace, Wielder of Mysteries Instants (31) 1 Aetherize 1 Arcane Denial 1 Brainstorm 1 Commandeer 1 Counterspell 1 Countersquall 1 Cyclonic Rift 1 Deadly Rollick 1 Desertion 1 Dig Through Time 1 Drown in the Loch 1 Fact or Fiction 1 Fierce Guardianship 1 Frantic Search 1 Gather Specimens 1 Go for the Throat 1 Impulse 1 Mana Drain 1 Mystical Teachings 1 Mystical Tutor 1 Narset's Reversal 1 Negate 1 Opt 1 Pongify 1 Rapid Hybridization 1 Reality Shift 1 Rewind 1 Spelljack 1 Swan Song 1 Unwind 1 Vampiric Tutor Enchantments (4) 1 Faerie Tauntings 1 Omen of the Dead 1 Omen of the Sea 1 Rhystic Study Artifacts (9) 1 Arcane Signet 1 Charcoal Diamond 1 Dimir Signet 1 Fellwar Stone 1 Mind Stone 1 Sky Diamond 1 Sol Ring 1 Talisman of Dominance 1 Thought Vessel This almost feels like a tribal deck to me - we have Cunning Nightbonder and Niad of Hidden Coves reducing the cost of our "flash tribal" cards and that's as many warchiefs as most tribes get

Overlord of the Balemurk Overlord of the Balemurks an exceptional self-mill tool as it provides endless advantage for the self-mill deck
A creature that steals all your non tap for mana artifacts for a turn upon activation, something to fill the gap in between Treasure Nabber and Hellkite Tyrant