Successful in my list of backed games:

First Banner Saga.
Moonlighter.
Memoranda.
A Hole New World.
Slain.
Regeria Hope.
Dead Synchronicity.

EDIT: Typo

Released on Linux (early access or final):

All Walls Must Fall
Jupiter Hell
Last Epoch
Space Jammers
The Lost Cave of the Ozarks
Transmogrify

Quoting: ArehandoroSuccessful in my list of backed games:

First Banner Saga.
Moonlighter.
Memoranda.
A Hole New World.
Slain!
Regeria Hope Dead Synchronicity

Done.

Released (Linux build available):
Akaneiro: Demon Hunters
Balrum
Castle Story
Chime Sharp
DeadCore (previously Deadlock)
Distance
Dreamfall Chapters
Hover
Kona
Pier Solar and the Great Architects
Pulse
Shadowrun: Dragonfall (Shadowrun Returns expansion)
Shadowrun: Hong Kong
Shovel Knight
Sir, You Are Being Hunted
The Interactive Adventures of Dog Mendonça & Pizzaboy
The Journey Down: Chapter Three
The Way
Thimbleweed Park
War for the Overworld

In Dev (Linux build available):
AI War II
Descent: Underground
Drift Stage
Factorio
Nimbatus
Noct
The Universim

Released (no Linux build):
2Dark ("we want to remain independent and as autonomous as possible" -> sign deal with BigBen Interactive -> Denuvo -> no Linux build -> Denuvo cracked -> still no Linux build)
Contagion
Dragon Fin Soup (supposedly WIP...)
INSOMNIA: The Ark (just released, hopefully in a few months)
The Bard's Tale IV: Barrows Deep (just released, hopefully in a few months)
Tower 57 (almost a year since release, still waiting...)

There are also games released with Linux build currently unavailable/unadvertised (The Banner Saga, Leisure Suit Larry in the Land of the Lounge Lizards: Reloaded...).

Bonus :P

Quoting: CyrilReleased on Linux (early access or final):

All Walls Must Fall
Jupiter Hell
Last Epoch
Space Jammers
The Lost Cave of the Ozarks
Transmogrify

Added.

No linux version https://www.kickstarter.com/projects/438269196/shiness

Released on Linux:
Celestian Tales: Old North
Lifeless Planet
Lingotopia

Linux demo available (in dev):
Tala

What to do with this one?

https://www.kickstarter.com/projects/wolcenstudio/umbra/description

GoL posted the news that alpha/beta won't be on Linux, but is it likely to come?

Quoting: EhvisWhat to do with this one?

https://www.kickstarter.com/projects/wolcenstudio/umbra/description

GoL posted the news that alpha/beta won't be on Linux, but is it likely to come?

Early Access only counts if they have already released a Linux version, otherwise we don't count it until release day.

Personally I would expect from such a page to present some form of gradation.
It's not ok to treat the same way Larian Studios, who ported Divinity: Original Sin after year and a half and they abandoned Linux while releasing second game and Obisidian who released all of their games with day one support.