Oh boy. I was working on a split-card Cube a few years ago, so I dug it out and listed some of the cards below (I was fine with permanent/permanent split cards, as it lets you do some truly bizarre things, but I can understand wanting to stay away for clarity's sake). Some of these were taken/adapted from the original split-card Cube, and I'll try to credit them (with a *) if I remember. As you can see, anything that lets you replay it or shift the card between zones (think dredge, suspend, madness, rebound, cycling, etc.) is massively abusable.
fetchlands*:
Flooded Strand//
Momentary Blink
Polluted Delta//
Mystical Teachings
Bloodstained Mire//
Shambling Remains?
Wooded Foothills//
Ancient Grudge?
Windswept Heath//
Ray of Revelation?
Marsh Flats//
Lingering Souls
Verdant Catacombs//
Worm Harvest
Misty Rainforest//
Tracker's Instincts
Scalding Tarn//
Desperate Ravings
Arid Mesa//
Firemane Angel?
cycling lands:
Secluded Steppe//
Glory
Lonely Sandbar//
Wonder
Barren Moor//
Extractor Demon
Forgotten Cave//
Anger
Tranquil Thicket//G
enesis
Reach of Branches//
Sakura-Tribe Elder (neverending Rampant Growths for 1G; you can replace STE with Dawntreader Elk or similar to make it fairer)
Survival Cache//
Evangelize
Consuming Vapors//
Persecute (forces opponent to either play out a guy and have to sac it or discard it anyway; Persecute is very strong in a format where even the lands have coloured spells attached to them)
Shattered Perception//Past in Flames (nice if you're supporting Storm; Perception fills the yard and tears through the deck, giving you material for PiF)
Roar of the Wurm//
Krosan Tusker (standard value card)
Reanimate//
Undead Gladiator (T2 cycle, T3 discard to recur + Reanimate)
Mystic Retrieval//
Gifts Ungiven (lets you 'rig' your Gifts piles)
Lead the Stampede//
Vengevine (Lead goes from MODO Cube trash to nuts in this Cube, and again fuels the other half here)
Firecat Blitz//
Elsewhere Flask (a nice early-game cycler/late-game finisher that works with itself in a cute way)
Exile into Darkness//
Blightning (you could find a mono-black discard spell to replace Blightning, but I like that it's a kill condition by itself this way)
Empty the Warrens//
Grinning Ignus (obv)
Mind's Desire//
Shrieking Drake;
Brain Freeze//
Dream Stalker (same; you could swap Desire and Freeze or add
Temporal Fissure here)
Deep Analysis//
Misthollow Griffin (value!)
Decree of Pain//
Resounding Scream (lots of value!)
Conflagrate//Upheaval (Upheaval wasn't broken enough already...)
Battle Screech//
Timely Reinforcements (solid midrange card that lets you catch up in a big way if you're behind)
Armageddon//
Day of Judgment (symmetry)
Skeletal Scrying//
Suffer the Past (more outlandish symmetry)
Dead/Gone//Boom/Bust (I heard you like split cards)
Rift Bolt//
Reforge the Soul (suspend lets you get Reforge without playing any mana and before drawing your card for the turn)
Staggershock//
Mana Flare (same principle)
Ancestral Vision//
Control Magic (either you're ahead and can draw 3, or you can catch up with a free Control Magic)
Faithless Looting//
Firebolt (I'm sure you could find different homes for either, but it's nice to have them stapled together)
Think Twice//
Silent Departure (ditto)
Songs of the Damned//
Spider Spawning
Darkblast//
Unearth (can Dredge 3 for 2 mana, stocks GY for Unearth)
Bridge from Below//
Evolving Wilds*
Attunement//Living Death (you can also party like it's 2000 and sub Replenish in for Living Death)
Viscera Dragger//
Kagemaro, First to Suffer (since there are no defined rulings for p/p split cards you can just do what you want, afaict)
Street Wraith//
Grave Scrabbler (a much fairer use of Street Wraith than

Street Wraith//
Nightmare Void (probably not ok)
Grave-Shell Scarab//
Pernicious Deed
Golgari Thug//
Smallpox
Dakmor Salvage//
Liliana of the Veil
Greater Mossdog//
Lull (build your own Constant Mists, or just dredge your deck for low low prices!)
Stinkweed Imp//
Tombstalker (probably the best design of these five)
Riftwing Cloudskate//
Time Warp (have to be careful with things like Volrath's Stronghold)
Coffin Puppets//
Primeval Titan (just came up with this, seems annoying)
Young Wolf//
Safehold Elite; Strangleroot Geist//Kitchen Finks (not broken given what you can do in a Cube like this, but likely not worth the risk)
Worldheart Phoenix//
Kaleidostone
Detritivore//
Pardic Dragon
Deep-Sea Kraken//
Aeon Chronicler
Sky Hussar//
Pride of the Clouds (too cute, too slow?)
Gush//
Phantasmagorian
Dread Return//[
Thatcher Revolt/Timely Reinforcements/
Even the Odds/Spectral Procession]
Goblin Bushwhacker//
Haze of Rage
Auntie's Snitch//
Krenko's Command*
Sensei's Divining Top//
Bonfire of the Damned*
Lion's Eye Diamond//
Unburial Rites (the best card?)
Greater Gargadon, and Life from the Loam are two cards that you can staple onto a bunch of different cards with hilarious results:
Greater Gargadon//Second Sunrise
Greater Gargadon//Balance
Greater Gargadon//Ignite Memories
Greater Gargadon//Bitter Ordeal
Life from the Loam//Edge of Autumn
Life from the Loam//Devastating Dreams
Life from the Loam//anything (dredge is that good)