In one episode they had to fight a Giant Ant. In the same episode, Bubbles got glasses. The ant was invincible until Bubbles' glasses amplified the beams, melting the ant in one shot. Blossom and Buttercup, who were in the line of fire, only got singed.
Frequently this power is given various names in Powerpuff fanfiction - laser eyes, eye lasers (which makes more sense), eyebeams, or optic blasts (if trying to sound fancy)
Starfire, from Teen Titans, gets this power after she goes through alien puberty.
And before that, her older sister Blackfire had it, having already gone through said puberty.
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; Terrorsaur's only saw use in a handful of episodes, and Waspinator's only in the first.
Unicron fired 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.
Parodied in The Fairly OddParents. When Timmy wishes for his parents to have super powers, 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.
Naturally, whatever JQ has, The Venture Bros. has to get too. 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.
Oglethorpe: You prance around like you have laser eyes!
Mighty Ray from Hero 108, upon partaking a banana.
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.
In the Mega Man 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.
In the South Park episode "Mecha-Streisand" Leonard Maltin has this as his superpower, he can use it even when he's not Mecha-Maltin.
In The Venture Bros., 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.