Eyebot

The Eyebot is a hovering robot similar to the pre-War Floating Eye bot, but with whip-like radio antennas resembling long "whiskers" pointing to its back, like in the Sputnik Soviet satellite, and loudspeakers in the front.

At least some of the Enclave Eyebots aren't entirely robotic. There are a few partially disassembled Eyebots in the Raven Rock tech lab. They have the top part of their core off and there's a human brain sitting in the middle of each one, similarly to Robobrains.

Use by the Enclave
Eyebots are used by the Enclave on the East Coast for broadcasting propaganda, presidential speeches and patriotic marching music to the people of the Capital Wasteland. These propaganda broadcasts, delivered both over in-game radios, the Pip-Boy 3000, or via the robot's loudspeaker, mention that the American Government is watching, in preparation to restore the former glory of the United States. If Raven Rock is destroyed, the robots will broadcast static.

Eyebots are armed with a weak laser, but are neutral to the player and other civilians (i.e. Wastelanders). They will attack enemies like Raiders and Giant Ants. The Brotherhood Outcasts also have a mutual animus with the Eyebots (due to faction dispositions), and presumably the Brotherhood proper do as well. The Eyebot has little health and explodes when destroyed, causing damage to anything close including the player. It appears that even though common sense might lead one to believe they are allied with the robotic enemies in the waste, rogue Protectrons and Brain Bots have been observed destroying them. Despite being initially friendly, Eyebots will attack anyone (including the player) they see fighting against Enclave forces.

Crow will give you a helmet made out of an eyebot called Crow's Eyebot Helmet if you invest in him after completing the The Superhuman Gambit mission. Another Eyebot Helmet can be found during the The Waters of Life escape.

Random explosions frequently heard in the distance while roaming the wasteland can mostly be attributed to an Eyebot self-destructing from damage.

After the Enclave begins setting up major operations in the wasteland, destroying an Eyebot may cause a Vertibird to land nearby and debark troops to investigate what happened to the Eyebot.

Combat Statistics
Eyebots are hardly strong opponents, and the fact that they are (initially) friendly and will attack enemies that engage the player or other Wastelanders means that they are more beneficent than anything else, but Eyebots can still pose a threat, especially after the Waters of Life quest in which they'll move to protect Enclave patrols and guard stations.

The Eyebot packs a small laser weapon, roughly equal in strength to an AEP7 Laser Pistol. It is frighteningly accurate with this weapon, and rarely seems to miss, even over considerable distances. While not a very damaging opponent, the Eyebot's mobility, small size, and high accuracy can make it a threat, especially if encountered in packs (as some Enclave Field Bases make use of them for). Fortunately, they are not very durable and easily destroyed, even with one's fists - they're the most fragile robot in the game.

A note for those trying to destroy an Eyebot early on (such as the one right near the town near Vault 101 - Eyebots explode when killed, causing damage to anything close by. Though high-level characters have little to fear, this explosion can be very dangerous for characters just starting off. Because Eyebots are worth a paltry amount of experience anyway, it's generally a better idea to ignore the little things entirely unless they're hostile.

Eyebots leave no corpse and nothing to salvage when destroyed.

Appearances
This robot appears only in Fallout 3, but is similar to the Floating Eye Bot from Fallout and Fallout 2.