Oh, yes, definitely -- Filmation reused a lot of its library music in multiple shows. Some TAS cues were repurposed from
Lassie's Rescue Rangers (whose pilot movie came out in 1972), or at least the two contemporary shows used them simultaneously. You can see some
Lassie episodes here:
It uses a lot of the same cues as TAS, including the cues listed on the 50th Anniversary album as "Something Ahead," "Fire Phasers," "Enterprise Wins the Space Race," "Battle Stations," "Enterprise Attacked," "Scanning," and "Kirk's Command." (The titles were invented for the anniversary album; it's unknown what the cues were originally called, if anything.) "Mr. Arex Lends an Extra Hand" might also be from
Lassie, since it has a similar sound to "Battle Stations" and "Something Ahead," and I think "Trouble in Engineering," "Don't Mess With M'Ress," and "Oh My" might be too. The brief violin sting called "Surprise" was pretty much ubiquitous across Filmation's shows.
The cue listed as "Off Duty" is only the closing part of a longer cue originating in
Lassie (using a melody featured in many of its cues, so it almost certainly originated there) and used in multiple Filmation shows including
Shazam, Isis, Tarzan, and others. (In my childhood memory, I associate the cue most strongly with a scene of Tarzan laughing at the antics of his monkey sidekick N'kima. The full-length cue is one of my favorites.) "Battle Stations" was also used quite often in those shows as their default suspense music. "Just Another Stardate" is borrowed from Filmation's comedy shows; I remember it being used routinely on
The New Adventures of Gilligan.
"Enterprise Attacked" (my favorite TAS/Filmation cue since I was a kid) showed up occasionally in other mid-'70s adventure shows, including
Jason of Star Command. I remember
The New Adventures of Batman using it at least once in a sci-fi-themed episode (the one where they went to Bat-Mite's dimension, IIRC). Generally the only ones that weren't recycled elsewhere were the ones using the TAS theme melody.
Filmation mostly stopped using the TAS-era music by 1979 or so, when they introduced a bunch of new music and started using it instead. A lot of
Flash Gordon music was repurposed in
Blackstar, and
The New Adventures of Zorro borrowed some tracks from the previous year's
Lone Ranger series. It all ended when we got to
He-Man in '83 and Shuki Levy & Haim Saban replaced Ray Ellis & Norm Prescott as Filmation's composers.