Angel Wars: A Nephilim named Og (yes, really; he insisted on being called "Og" over being called "Ogrud Jr.") had the ability to fire wide orange magical beams from his eyes; he used these to battle his own father.
Oglethorpe: You prance around like you have laser eyes!
Combustion Man from Avatar: The Last Airbender doesn't quite perfectly fit this trope, but he fires his beams o' doom out of an eye tattoo over his sixth chakra, located close to the eyes.
Martian Queen: I never knew you could shoot laser beams from your eyes! Dodgers: Well, there's a lot you don't know abou- laser whats out of my where?!
The Fairly OddParents!: Parodied. When Timmy wishes for his parents to have superpowers, his mother gets Heat Vision, while his father gets Meat Vision, the ability to shoot meat with his eyes. Timmy himself has heat vision courtesy of a prior wish, but forgets it most of the time.
Fantastic Four: The Animated Series: In the episode when they fight Galactus, Ghost Rider's infamous Penance Stare takes the form of flames shooting from his eyes. It succeeds in one-shotting the incredibly powerful villain without Ghost Rider even having to get off his bike.
Rather inexplicably, the Futurama version of physicist Stephen Hawking can shoot lasers from his eyes. Even he was surprised.
Hawking: I didn't know I could do that.
Hanna-Barbera's version of Godzilla has eye lasers, in addition to his usual abilities. Probably because laser beams are easy to animate, but also because Executive Meddling requested that Godzilla not use his Breath Weapon too much, because they thought it would influence kids to commit arson (yes, really!).
Time Baby, a massive, time-devouring monster in the form of an infant who will rule the world in the distant future, has this power.
Bill Cipher, the triangular dream demon, has this power, though he can shoot lasers from his fingertips as well.
Octavia, the mutant, multi-legged cow from the short, "Mabel's Scrapbook: Petting Zoo", does this so that it can eat a freshly roasted hawk.
Mighty Ray from Hero: 108 has magical eyes that can shoot electrical beams upon partaking a banana.
The Hobbit: Smaug's got a non-lethal version of this. When searching the room for the invisible Bilbo, Smaug's eyes shoot out spotlight-like beams.
The power of the Pig Talisman in Jackie Chan Adventures is the ability to shoot heat beams from the user's eyes. In one episode, Jade notes that it's hard to accurately see when you're shooting beams from your eyes. In another, a character gets the talisman and accidentally destroys his prescription sunglasses.
The talisman also counts as a Mundane Utility, as its original owner used it to melt chocolate at his factory in Bavaria.
In Jamie's Got Tentacles!, Jamie has the ability to shoot lasers from his eyes as seen in a few episodes including "The Attack Of The Mutant Mosquitos" and "Eye Contact 2.0".
Jonny Quest: The titular being of the episode "The Robot Spy" is a robotic Oculothorax with lasers built into its iris.
Quack Quack the duck from Kaeloo has the power to shine both light beams and laser beams from his eyes.
Krypto the Superdog: Like Superman himself, Krypto can use heat vision, too.
Ace Bunny of the Loonatics Unleashed has "laser vision" according to the show's intro. Strangely, Ace's beams don't burn or cut like a laser, but tend to be concussive instead.
In the Mega Man (Ruby-Spears) episode "Curse of the Lion Men", the leader of the Lion Men, Tar, has eye beams. Instead of causing damage, they transform humans into more Lion Men that become loyal to him.
Oscar And Friends: In "A Dog's Life", a gnome (Oscar's family's garden gnome come to life) uses these to zap Bugsy, which turns him into a dog.
Pibby: The trailer briefly shows the unnamed superhero character firing lasers from his eyes to (ineffectually) fight the Eldritch Abomination antagonist.
The Girls have this as part of their stock of superhero powers. It has been called several names, such as "laser vision", "heat ray", and "zappy eyes".
In one episode of The Powerpuff Girls (1998), they have to fight a giant ant. In the same episode, Bubbles gets glasses. The ant is invincible until Bubbles' glasses amplify the beams, melting the ant in one shot. Blossom and Buttercup, who are in the line of fire, only get singed.
In the short-lived Road Rovers, one character, Exile, had both heat vision and freeze vision. One episode even showed him with night vision.
In "Aku's Fairy Tales", Aku tells a version of "Little Red Riding Hood", making the protagonist into an amalgam of Little Red Riding Hood and himself.
Aku: The wolf attacked Little Red Hood, not knowing that Little Red Hood had... LASER EYE BEAMS!
When Aku attacks Jack in his dragon form, he uses both eye beams AND a mouth beam to combine them into ONE GIANT BEAM.
The Simpsons: In "Marge vs. the Monorail", Mr. Burns' act of hiding toxic waste in a tree is shown to have mutated a squirrel, giving it glowing teal laser eyes that it uses to cut down a hanging acorn.
In the episode "Mecha-Streisand", Leonard Maltin is revealed to have laser eyes when he uses them to free the boys from their shackles in Barbara Streisand's condo. He can use it even when he's not Mecha-Maltin.
Barnacle Boy has a variant he calls "sulfur vision." In "Mermaid Man and Barnacle Boy II," he attempts to use it to destroy a conch shell but is unable to make the beam travel more than a few inches from his face.
In "Star Comes to Earth", Star shows off the power of her magic wand by summoning a herd of adorable puppies with laser eyes.
Ms. Heinous/Meteora gains the ability to suck out souls with a green beam from her eyes.
In Static Shock, whenever Static discharges powerful enough electricity, he could shoot electric streams from his eyes, but it's only a side effect that he doesn't use to full effect, and just a visual cue showing just how much power/how pissed he is at the moment.
White Diamond from Steven Universe is able to shoot white rays of light from her eyes. When a Gem is hit by these beams, it bleaches their bodies grayscale and assimilates them into extensions of herself, making them "perfect" (by her standards, anyway). Even these extensions of herself are able to do this, with White Diamond launching a full assault on Pink Steven using herself, Yellow Diamond, Blue Diamond, her Pearl, Garnet, Amethyst and Pearl all at once.
Teen Titans (2003): Starfire gets this power after she goes through alien puberty. Her older sister Blackfire has it from the start, having already gone through said puberty.
Transformers: Despite these being a common Super Robot power, few Transformers have these. The only examples that spring readily to mind are Dinobot, Waspinator, Terrorsaur, and the altered clone Dinobot, all from Beast Wars. Only the two Dinobots used them frequently as Eye Beams were their only forms of ranged attack; Terrorsaur's only saw use in a handful of episodes, and Waspinator's only in the first episode and when he was trying to open Tigatron's stasis pod. Unicron fires off several eye beams in the 1986 movie. Notably, he fired beams from only one eye because Hot Rod had already crashed the Quintesson ship through his other eye.
The Trap Door: In "The Thingy", the monster can shoot a beam from its eyes that causes random transformations in its targets.
The Walking Eye is based on the spider robot from Jonny Quest's "The Robot Spy", a mechanical oculothorax with iris-mounted lasers. But subverted, in that the one Venture built does not seem to actually shoot beams (or even work, for that matter, other than being able to stand). He later attaches Helper's head to it.
Doc Venture: He just wants to give you a hug!
The Monarch has eye beams that can encase an adversary in ice... according to Hank and Dean's courtroom testimony. They also claim to be able to join forces and transform into a Mecha-Shiva.
W.I.T.C.H.: Shagon of the Knights of Destruction can fire green beams of energy from the eyes of his mask.
Young Samson and Goliath: When Samson's dog Goliath is changed into his giant lion form, he can fire power beams from his eyes to destroy things.
