Note, some campaigns mention a Vita version if successful, I'll add them in, even if there's no firm details or an official stretch goal. Also, just because a project fails, it doesn't mean it dies - with many continuing development through other means. If a project you've backed does fail, keep an eye on the developer's updates to see what happens next (Pixel Noir being a perfect example).
Pato Box (Bromio) (yep a boxing duck!) needs $200K Mexican
Battle Princess Madelyn (Casual Bit) $150K Vita stretch (already at $100K)
UnDungeon (Laughing Machines) Funded short of console stretch, but still taking PayPal
Prisma and the Masquerade Menace (Shiny Bolt) $80K Vita stretch goal (met basic)
No Mercy: For Lorne Hope (Multivarious) $180K Vita stretch goal (met $30K basic)
CyberThreat (coming to KS soon)
Beyond Human (new KS soon)
I semi-regularly update the progress for games down the list. Let us know if something changes on a project you follow, or if I'm missing a new one.
Recently funded (Bold = funded or confirmed for Vita):
Pixel Princess Blitz (Lanze) Vita version coming after PC, no specific goal
Dies Irae Vita stretch at $200K ACHIEVED!
Sharin no Kuni ($120K Vita stretch) FUNDED
Plague Road ($30K goal) FUNDED
Glitched (En House) FUNDED for Vita
Xydonia (Breaking Bytes) Funded base goal
Best Buds vs Bad Guys (Super Icon) (Vita still possible, according to recent KS post)
Greedy Guns (Tio Atum) Funded base goal
Demoniaca Everlasting Light (Fabio Consorti) Funded base goal
Arcadian Atlas (Becca Blair) Funded base goal
Mable & the Wood (Triple Vis) Funded, short of Vita stretch
Quantum Suicide (Cotton Candy) Visual novel
Shadows of Adam (Something Classic) short of $35K Vita stretch
Children of Zodiarcs (Cardboard Utopia) FUNDED Vita under consideration
Crossing Souls (Fourattic) FUNDED
Root Double Before Crime FUNDED Vita version. (Game in QA with Sony)
Noohz (Wannabe) £10K PC goal (funded), Vita mentioned
Libra of the Vampire Princess (MiKandi) Funded, short of portable goal
Pankapu (Too Kind Studio) Funded, short of Vita stretch
Demetrios Big Cynical Adventure (Cowcat) base goal funded - RELEASED
Wanderer (Red Cloak) Just missed PlayStation stretch, but devs are keen!
Pixel Noir (SWDtech) FUNDED!
De Mambo (Dangerous Kitchen) FUNDED!
Blacksea Odyssey (Blacksea) Vita version mentioned if game is successful
Muv-Luv (Degica) PS Vita $500K Stretch goal FUNDED ($2 million - wow!)
Regalia (Pixelated Milk) Vita stretch €60,000 - FUNDED (New Gamescom video)
Bloodstained: Ritual of the Night (Koji Igarashi) $3.5 million Vita stretch- FUNDED!
Loud on Planet X (Pop Sandbox) $50,000 FUNDED
Slain (Wolfbrew) May/June 2016 - dev blog - RELEASED
Strength of the Sword Ultimate (Ivent) $30K Vita stretch goal FUNDED! (Delayed on Vita)
Children of Morta (Dead Mage) 90K Vita stretch goal - FUNDED!
Tokyo Dark (Cherrymochi) FUNDED!
Project Scissors NightCry (Playism) FUNDED!
Ars Tactica Dragon Tournament (Ars Tactica) Vote now on Square's Collective page
Grisaia Trilogy (Sekaiproject) $100K raised, needs $240K for other formats - FUNDED
Hollow Knight (Team Cherry) Funded, short of Vita goal
Darkest Dungeon (Red Hook) Funded - RELEASED
Epic Manager (ManaVoid) $125,000 C$ stretch goal (RPG Tycoon game)
Outpost 13 (MaxHall) FUNDED
Cavern Kings (Vine) FUNDED, Vita version mentioned (endless digger)
Heroes Never Lose FUNDED (Dorias) Possible Vita version (action puzzler)
Battle Chef Brigade (Trinket) FUNDED, Possible Vita version (combat cooking)
Legena: Union Tides (Grandpa Pixel) Funded, short of Vita goal (16-bit RPG)
Addam's Family for Pinball Arcade Farsight FUNDED
X-Tactics (Gamkin) Failed to meet Vita stretch goal, devs say Vita version still coming
SuperWorldKarts (Paul Hamilton) missed Vita goal (classic 16-bit karts racing)
Aegis Defenders (Guts) FUNDED, Vita potential goal
World End Economica (Sekai Project) Vita stretch goal FUNDED!
Twilight Struggle (GMT Games) Funded!
Organic Panic (Last Limb) Funded
Timespinner ($75K Stretch Goal - FUNDED!)
Rain World (Rain World) FUNDED
Chasm (Discord) Funded, possible Vita version
Midora ($100K Stretch Goal, game reached $75K in funding, Vita version should still happen)
Temporus ($20K, Vita eventual publishing target)
Fault Milestone One (Coming 2017
Mighty No. 9 - releasing in 2017
Dragon Fin Soup RELEASED
The Deer God (Blowfish) - coming early 2017
Hyper Light Drifter (Heart Machine) CANCELLED
MechRunner (Spark Plug) (delayed but still coming, gone very quiet)
Heart Forth, Alicia (Alonso Martin) FUNDED! (coming 2017!)
Red Goddess (Yanim) FUNDED! (LOOKS LIKE PROJECT IS DEAD)
Exogenesis (Kwan) FUNDED (Very slow progress)
Project Phoenix (CIA) Coming 2018, maybe!
A.N.N.E. (missed Vita goal, but still coming)
Starlight Inception (Escape Hatch) - RELEASED
Cosmic Star Heroine (Zeboyd) (Still in development, Vita version in active development)
Broken Sword 5 (Revolution) - RELEASED
Soul Saga (Disastercake) (Still in development, Vita version still planned)
Liege (Coda Games) (Still in development, no Vita mention)
La Mulana (Nigoro) (RELEASED)
Even though some games were funded, it seems the developer overestimated their skills or the power of the Vita. Games like Hand of Fate, BroForce and others drop the Vita version this happens, but don't be bitter at the developers, they try their hardest!
UPDATE: seriously, don't be rude to developers, the grief and abuse they get for trying to bring a project to fruition is staggering. I've read about families struck with cancer, developers being seriously ill and stressed beyond belief. They will try their best to bring a game home, but being abusive only makes things worse. If you invested in a project, that was your choice, let them do their job!
Failed/Cancelled/Other: (Bold means still coming to Vita, eventually)
Aegis Innocence (Stasis Soft) KS failed, but development promised to continue
Bearded Bear (Bears in Mind) €15K Vita - development progress continues
Rogue Raiders Online (€33K goal - Vita exclusive)
Fight for System Haven (Zombie#4) PS Vita mentioned
Grave Danger (possible PS Vita version) $35K basic
City of God: Prison Empire (Chief Eastwood) $150K Vita/PS4 stretch
Undead Darlings (Mr Tired) $115K Vita stretch
Death Story (Team Neko) $15K Vita stretch
Tower of Samsara (Martelo Nero) €42K - Work continues!
Nostalgia: Two Worlds (Magna)
Hush Hush 299 (Lacuna Walker) $20K Cancelled
Super Micro Heroes (Mutant Games) €7,000 goal (Vita mentioned, but no stretch listed)
Super Axe Boy (Matt Falk) Vita version maybe (PS4 stretch €40,000)
Night City Assault (Xtra Mile) $115,000 Vita stretch goal - Cancelled, restarting soon
Cold Horizon (Big Cake) £145K Vita stretch goal
Judgement of Rage (GodCat)
DGeneration HD (West Coast)
Cross Reverie (Sinxsoft) $58,000 Vita stretch goal Cancelled
Undead Darlings (Mr Tired) $225,000 Vita stretch goal
Hero Trap (Funded but cancelled)
Station (Well Lit Room) £25,000 Vita/PS4 stretch goalPlanet Centauri 2D (Permadeath)
Major Rocks (Supergoodpixel) Just $3K for a cool asteroids shooter (relaunched)
Moon Hunters (Kitfox) Vita goal FUNDED (RPG) - Cancelled
Border - Remembrance (Fallen Valkyrie) (Metroidvania)
Dark Deception (Glowstick) $15K needed Failed
Sanctum Polis (Quadrangle) FAILED Vita stretch goal $120K (RPG)
Kodoku Chronicles (Carnivore) 28K for a Vita version (horror visual novel) - 5 days to go
Lost Homeland (GBJ) SUSPENDED $150K stretch goal for a Vita version (Steampunk 3D action)
Beyond Human (Domino99) (Sci-fi Metroid)
Ray's the Dead (Ragtag) Announced for Vita on PSN blog (end of 2014)
Band Saga (Rekcahdam) Failed to reach Vita stretch goal
Warlocks (One More Level) Made base funding, failed Vita stretch goal
Poncho (Delve) Failed but dev has a publisher (ultimately cancelled)
Coffin Dodgers (200K Stretch Goal, only £9K funded, back to the drawing board - how about animals racing?)
CR-Fighter (David Perez) $3,000
Super Distro Horizons (Kitatus) (failed)
Cult County (Renegade Kid) (failed)
Flying Hamster II (Game Atelier) (KS cancelled, publisher found)
Light (Just a Pixel) (game was acquired by publisher early on)
Reborn (Elemental) (project on hold)
Taxi Journey (failed)