The first words uttered on the moon were not about an eagle landing, but "contact light". The first characters sent over anything Internet-like were LO (system crashed before the full LOGIN) and I've heard that the first message sent over transatlantic cable was something very technical about voltages.
What usually gets into the history books is stuff like "the eagle has landed" or the first telegram sent over the cable, but not these technical firsts.
Do we know about any of the others since the beginning of the industrial revolution? Like, first TV broadcast - was it a test pattern of some kind? First cellphone call must have been something in a lab for sure. First text message, etc.
As a space program historian, I love that you mentioned the "contact light" example from Apollo 11. I was playing the board game "Trivial Pursuit" with some family awhile back and the question was, "what was the first word spoken from the surface of the Moon", and the card incorrectly listed the answer as being "Houston" (which as you pointed out, is not accurate). Luckily, I won that argument! ;)
Here are a couple more space-related ones.
The first recorded words transmitted from space were on December 19, 1958, when President Eisenhower's Christmas message went out via short wave from a recording aboard the Project SCORE (Signal Communication by Orbiting Relay Equipment) satellite. The President said the following - "This is the President of the United States speaking. Through the marvels of scientific advance, my voice is coming to you from a satellite traveling in outer space. My message is a simple one: Through this unique means I convey to you and all mankind, America's wish for peace on Earth and goodwill toward men everywhere." Interestingly, the primary playback system failed on the first attempt to play the message, but on the next orbit, the secondary backup system did its job and sent the message to the people of Earth on a looped playback.
The first words from space from an actual human - Yuri Gagarin - were “Поехали!”, which translates from Russian to English as "Let’s go!". Whether those were truly the first words above the 100km-high Karman Line is up for debate, but exact documentation is problematic when dealing with the first Soviet flight and the exact altitude that different statements were made at over the radio, so it is fair to say that it was "reported" those was the first words spoken by a human from space.
Also, the first words spoken by a ROBOT in space were from the Japanese Robot "Kirobo" aboard the ISS, who said, "On August 21st, 2013, a robot took one small step towards a brighter future for all."