Well, there’s this=>
Good place to post Morey Amsterdam’s lyrics to The Dick Van Dyke Show:
And here’s Bewitched. Never used on the show, but sung by Steve Lawrence, an actual singer who had records that made the charts and everything.
Like the OP, I have questions about several theme songs. But the weirdest thing is that I have watched a lot of Community and have no idea what the theme song’s lyrics are except for a few words at the end.
This is what the skip button does do a person. OTOH, I really didn’t care for the song at all from day one. It doesn’t reflect the show.
For the first two seasons, the subtitles for Suits on Amazon had the next-to-last line of the theme song as “All that time, imagine this.” It wasn’t until Season 3 that they corrected it to “All step back, I’m 'bout to dance.”
The theme to One Day at a Time has the line “So up on your feet!”
I’m sure I’m not the only person who heard it as “So whop on the key!”
I thought it was “walk on the beat.”
The Beverly Hillbillies had a theme song which included a final stanza at the end of the show.
Were they unique in that regard?
Call up the YouTube clip where they play the song backwards, and that line refers to Mickey Mouse and sounds like Mickey, what a wuss! 
“This been a Filmways prezintashin.”
Of interest.
Theme tunes are often written to fit the series name, even if there are no lyrics.
There are verses of the Cheers theme song that wasn’t included on the show. One has:
Roll out of bed, Mr. Coffee’s dead
The morning’s looking bright (the morning’s looking bright)
And your shrink ran off to Europe
And didn’t even write
And your husband wants to be a girl
Here’s Tenacious D performing the Star Trek theme. Listen carefully and you actually will hear the phrase “star trek.”
I have to say Jack Black did a hell of a lot better job singing those words than Roddenberry did writing them
My favorite example of using the name of a show’s main character in its theme also comes from Alexander Courage, who was ordered to feature it: “The main character’s name is JUDD, goddammit!”
I’ve known the lyrics ever since I bought a copy of The Making of Star Trek in 1970 or '71. I actually heard an instrumental version of the theme playing over the Muzak in an eye clinic when I went in to get my first pair of contact lenses in the spring of 1972. Have never heard it outside of TV since, though.
The Gilligan’s Island theme also had a final stanza that played over the end credits.
So this is the tale of our castaways,
they’re here for a long, long time.
They’ll have to make the best of things,
it’s an uphill climb!
The first mate and his skipper too
will do their very best
to make the others comfortable
in their tropic island nest.
No phone, no lights, no motor cars!
Not a single luxury!
Like Robinson Caruso,
it’s primitive as can be!
So join us here each week my friends,
you’re sure to get a smile
from seven stranded castaways,
here on Gilligan’s Isle!
Check out these rejected themes for The Prisoner. I’m glad they went with the one written by Ron Granier that we all know and love so well!
The theme song to “The Andy Griffith Show” is titled The Fishing Hole and has lyrics.
That stretching of “Crusoe” into three syllables always bugged me.