“Move over, Rover and let Jimi take over.”
Certainly not the first, but maybe the funniest…
Clarence Carter - Strokin’
Stroke it Clarence Carter, but don’t stroke so fast
If my stuff ain’t tight enough, you can stick it up my woooooooo!
I’d play dumb and say that album exists in the same non-existing state as the fourth Indiana Jones movie, except “This is England” is still a decent track.
Exactly this. I admit I got the CD, but much later than all my other Clash albums and only for completion, though I knew its reputation. I listened to it once and never again.
ETA: I remember reading a review a long time ago that asked: “Hey the Clash, you called your album ‘Cut The Crap’, why didn’t you listen to yourself?”
I don’t really listen to anything but their first three albums, and I myself have never listened to Cut The Crap, though I know of it through Todd In The Shadows, who did a “Trainwreckords” dissection of the album. HIs comment on “We Are The Clash”: “Look, there’s no other way to say this, this sounds like the theme to a Clash TV show.”
You should at least give “Sandinista” a try. Yes, it’s too long, bloated and has other weaknesses (the production and the drum sound), but there are some real gems of songs.
ETA: oh, and I forgot “Combat Rock”. That’s an album everybody should give a listen, it’s among their best work.
Yeah, I’ve tried – I just haven’t had the patience to get through it all. Maybe if someone pared it down to a single disc. I have trouble getting through any double album, much less triple.
And, yes, “Combat Rock” I’ve heard over and over and over again because twenty five years ago my coworker would play it endlessly. I’ve probably heard it enough I don’t need to hear it again. 
But, honestly, that album just doesn’t hit me for whatever reason.
He also had a single called “Hey! Bo Diddley.” Both songs were included on his first album, which was titled–you’ll never guess–Bo Diddley.
Not to be confused with his second album, Go Bo Diddley, which included the song “Bo’s Guitar.”
Granted, he also namechecked his announcer/presenter/sidekick and maracas player in “Bring It To Jerome”, so not all of his songs were about himself. 
I was thinking the same thing, but that shows up in George Thorogood’s version, not Bo Diddley’s version.
Didn’t know YouTube was around in 1927!
Jerry Lee Lewis did it.
Very similar experience here.
The Ballad Of Mott The Hoople - not the earliest by a long way, but you get the band in the title, the biography (kinda) in the song, and namechecks by Hunter of all the other band members.
Set up for the namechecks, but the whole song is well worth a listen if you don’t know it.
j
Lightnin’ Hopkins was another bluesman who frequently name-checked himself, but again it doesn’t go back as far as Robert Johnson or Big Bill Broonzy.
IIRC Muddy Waters name-checks himself in “Mannish Boy”.
Magic Slim name-checks himself in “Before You Accuse Me”.
Actually, I’d be surprised if there was a bluesman who hasn’t name-checked himself.
Mississippi Fred McDowell introduced himself on his “Red Cross Blues.”
Dagnabbit, you beat me by a year!
In 1937, Mississippi blues singer Robert Johnson recorded “Kind Hearted Woman Blues”, which contained the line, “Ain’t but the one thing, makes Mr. Johnson drink…”
ETA: ninja’d by Einstein.
How about name dropping the bands’ individual members?
Are you ready Steve? Uh-huh
Andy? Yeah
Mick? Okay
Alright fellas, let’s go!
I thought the same thing, I know he did it live but I searched around and can’t find it in any of his recordings.
No, that wasn’t me, @alovem first remembered that line from “Kind Hearted Woman Blues”. But I’ve got one nitpick, the song actually was recorded in 1936 as the first song of Robert Johnson’s first recording session (in a hotel room). I know it because the two versions of the song he recorded are the two first songs on his “Complete Recordings” which are ordered chronologically by the time of recording. He only did one other (equally fruitful) session in 1937.
ETA: while we’re at it, just a recommendation to everyone who has only heard the 1990 “Complete Recordings” or older editions of Johnson’s work: just the other day I stumbled upon the “The Centennial Collection” from 2011, and the sound and mastering is miles better than anything before. I was stunned by the “Complete Collection” back then, but got totally blown away by the “Centennial Collection”. Same songs of course (plus one lost recording), but dramatically better sound.
I bet The The used at least part of their name in every song.