See post #2. 
And I know this version was played on a console steel without pedals (it’s too early), but most pedal steel players just used the pedals to switch between tunings for the early part of its existence. Plus “Kick it off, Leon”
Incidentally, the person who first played while changing the tuning on their pedal steel was Bud Isaacs on Webb Pierce’s “Slowly”. Before that, pedal steels and console steels sounded the same.
Oops…well, we definitely need more than one Red Rhodes tune then. 
Mike Doughty’s Haughty Melodic album has some nice pedal steel guitar accompaniment on some of the songs, although they are primarily acoustic guitar tracks.
Here’s a much better example of what Randolph can do with a steel. I’ve seen him in concert and he tears that mother UP!
When Buffalo Springfield broke up, and Richie Furay and Jim Messina started Poco, they asked Jerry Garcia for a pedal steel recommendation. Jerry said “You want Rusty Young.”
(Oh, Jerry was the pedal steel player on the OP’s example, “Teach Your Children”.)
Just found a Rolling Stone article on him, right after he died a year and a half ago:
In Poco, Young made his name and reputation as one of the first musicians to integrate a pedal steel guitar, then largely associated with country, into rock & roll. Young’s spunky playing enriched the band’s goal of fusing two seemingly disparate genres, and on Poco standards like “A Good Feelin’ to Know,” he even pushed the sonic limits of the instrument. “Rusty was one of the most innovative people on the pedal steel guitar,” Poco founder Richie Furay tells Rolling Stone . “Nobody had ever heard a steel guitar run through a Leslie cabinet when we were doing it. We wanted to bring rock and country together, and that pedal steel gave us that rock & roll organ sound."
Found a clip that starts with his solo on Bad Weather, probably my favorite country-tinged ballad (wait for his harmonics, he loves those).
And a “Steelie” lesson using Rusty’s solo…
And if you don’t know the album Suite Steel, it’s full of great players. Here’s Rusty, playing off Clarence White’s guitar.
Although, he’s playing a “guit steel”. You have to see it…
Linda featured a lot of pedal steel on her early albums. This one’s a favorite;
Jimmy Day is one of the all-time greats. He played with Hank Williams, Webb Pierce, Jim Reeves, and Ray Price:
Speaking of Ray Price–can’t go wrong with Buddy Emmons. How about “Heart Over Mind?”
Love that Bob Wills’ Steel Guitar Rag
Nice steel work on this Judy Collins version of “Someday Soon”.
Heh, a friend saw this yesterday and thought of me because of the pedal steel on it. Nice song, nice playing.
one of the only times you’ll see an EDM/electronica group use a steel guitar …
Interestingly, the BBC wanted the song mimed like normal PSB showed up with everyone here and they were getting paid by the BBC so they had no choice but to use them …
That’s excellent. Not at all what we traditionally expect to hear from a steel, but clearly he’s a master of the instrument.
Ha! I came in to suggest her version of the Little Feat song Willin’. Great pedal steel solo by “Sneaky” Pete Kleinow.
Jeff “Skunk” Baxter with Steely Dan
Pearl of the Quarter
^^
That’s a very good one I had forgotten about. One of my favorite steel guitar parts.
I learned to play that on a Strat. It’s not the same sound, but you can approximate it pretty well using a slide. You’re working way up the neck, of course, somewhere in the vicinity of where the 23rd fret would be or thereabouts.
Daniel Lanois (best known for The Maker) uses pedal steel to create some interesting music.
That’s a fine song, but I think that he’s better known for producing classic albums by U2, Robbie Robertson, the Neville Brothers, Bob Dylan and others. As a solo artist, he’s probably what you’d call a musician’s musician.