In BattleTech and it's PC simulator adaptation MechWarrior, Battle Mechs with head mounted weapons sometimes have it set up as an eye-beam. The Atlas, which has a skull for a cockpit, can mount a laser in one of the eyes (the other is occupied by the actual pilot), and the Mechwarrior 4 Cyclops has a huge glowing red "eye" where a head should be. You can mount a (light) Particle Projector Cannon there, making it fire lightning bolts
The Beholder is a living embodiment of this trope with its eleven eyes armed with magic rays, as well as various Beholder-kin creatures. There's also lots of creatures with gaze attacks affecting those meeting their eye, such as Basilisk (petrification), Catoblepas (death) and vampires (charm).
And a handful of arcane spells like 'Eyebite' (gaze attacks with minor enchantments like charm or fear), 'Dead Man's Eyes' (caster's eyeballs turn black with white skull-shaped pupils and kills people by looking in their eyes).
Later sourcebooks even provide a Metamagic Feat that allow player characters to store ray spells in each eye for convenient simultaneous blasting for a later date.
The spell Lantern Light from the 3E Book of Exalted Deeds supplement gives clerics and paladins the ability to shoot eye beams.
Forgotten RealmsDwarves Deep got dwarven priestly spell 'Fire Eyes', Seven Sisters added its arcane counterpart — higher-level more powerful, but short-ranged and with bonus heat protection — and 'Basilisk Glare'.
The 3.5E supplement Lost Empires of Faerūn gives the sunmaster Prestige Class the ability to shoot beams of light out of their eyes at 2nd level.
Dragon magazine #46 adventure "The Temple of Poseidon''. The Dark King Ythog-Nthlei can fire four scintillating beams of energy from his eyes once per minute that drain Strength from the victim.
The obscenely powerful epic spell 'Vengeful Gaze of God' from the 3E Epic Level Handbook deals anywhere from 305 to 1850 points of damage, the latter value being easily sufficient to kill most deities in one shot, and it has a range just less than two and a half miles. Of course, the massive backlash will likely kill you too.
One of the psychic powers available to the Ork Weirdboy is an eye beam attack, with a strength comparable to the anti-armor melta weaponry used by the Imperium.
The Gaze of Mork is a supercharged laser mounted in the eye of ork Gargants.
In Shadowrun, cybereyes with built in lasers (or projectile weapons) are available. But, it is made very clear that they are very ineffective, especially in combat. In fact, the only effective use is low end tool uses.
"Lightning Stare" from GURPS: Magic, which probably isn't a cool as it sounds since you have to make "certain facial motions" in order to cast the spell.
The Champions RPG has a villain named Occulon who has several eye-based powers.
Warhammer fantasy battles likes to use these as magic missiles with gaze of Gork, gaze of mork and Gaze of Nagash as spells with such a name and a description of a light magic spell says that it's a kind of eye beams.
Exalted: Shards of the Exalted Dream has the Empyreal Chaos Charm known as Apocalypse Comet Gaze. This allows Infern - er, Titanic Exalts to, surprise surprise, fire death rays with a glare.
World of Synnibarr is notorious for having bears that attack with these. And it is not even in the top thirty weirdest things about World of Synnibarr.