Clark Kent on Smallville, obviously. Also Bizarro, Ultraman, and any of the dozens of kryptonians that pop up during the show. Heat vision is invisible to the naked eye and the beam effects are only for the audience's benefit, allowing them to use it in public without anyone noticing.
The Doctor Who episode "42" has the bad guy running around with these (beams of heat, in this case), with a visor that seems to be a direct Shout-Out to Cyclops.
The Silurians from the classic series had a Third Eye they could send an eye beam from which could kill, stun, or operate machinery.
Although Heroes, surprisingly given the many different superpowers, does not have any characters with eye beams, in the season 3 episode "It's Coming", Elle shoots Sylar with so much lightning at one point that lightning actually comes out of his eyes while he's being electrocuted. Good Thing He Can Heal.
Red Dwarf's Rimmer contracts a holovirus in the episode Quarantine, it drives him mad(der) and he puts on a red and white checked gingham dress, army boots and a penguin puppet, Mr. Flibble. The holovirus gives Rimmer Hex-Vision, with which he can shoot beams from his eyes. He can also transfer the Hex-Vision to Mr. Flibble...
Rimmer: Mr Flibble is very cross... you shouldn't of run away from him... what are we gonna do with them Mr Flibble? Mr Flibble quivering whispers something in evil Rimmer's ear Rimmer: We can't do that (shocked)... who'd clean up the mess? (both their eyes glow red).
On How I Met Your Mother, Lily has the "You're dead to me look", which causes her eyes to glow and the object of her glare to (appear to) vaporize. Given the look's similarity to Dark Willow eyes, this is possibly an Actor Allusion to actress Alyson Hannigan's former character.
Night Man's costume includes (among things like a bulletproof bodysuit, an Anti Gravity belt, and an Invisibility Cloak) an eyepatch of sorts that grants him night vision and can fire a laser. He's not shy about using it to kill, though. At one point, he uses it to merely stun a bad guy, knowing the guy was going to take a two-story fall headfirst.
The villain from the Charmed episode; "The Truth is out there, and it hurts" has a Third Eye that sends out a beam of burning energy. It targets the same area that the victim's third eye would be.
The short lived comedy show The Idiot Box featured a bit called "Damn These Eyes", about a scientist who, after a telescope mishap, was cursed with Eye Beams that he could not turn off. The beams — actually dotted lines — did not actually do anything, but they would let anyone know exactly where he was looking (such as at a woman's chest), destroying his life.
In the Arrowverse, Jake Simmons (AKA Deathbolt) shoots plasma laser beams from his eyes as his main power.
Supergirl as usual keeps the heat vision as part of the standard Kryptonian superpowers, although in this series it appears more blue/cyan than the traditional red from the comics and most other incarnations.
In this series, the over-use of heat vision, which Clark terms a "solar-flare", can temporarily "burn-out" her or Clark's super-powers, temporarily causing them to revert to human.
The Mr. Potato Head Show: During the superhero episode, Mr. Potato Head's "Spudman" character has the ability to fire lightning-like purple rays from his eyes; he used them to create a Bullethole Door to enter the villain's lair. He showed this ability once backstage, too.