I actually do have a playlist of what I consider the 100 best TV themes on YouTube, though I cannot, unfortunately, make it public. Many of the suggestions above (Mission:Impossible, The Protectors, Cheers!) are on my list.
To bring some kind of order to it, I found I had to break it down into categories (sitcoms, westerns, SF, cop shows, PIs, and so on), and arrange them roughly in chronological order.
So—The Honeymooners, Amos ‘n’ Andy, and Jack Benny come before Dick van Dyke, The Beverly Hillbillies, Gilligan’s island, and Hogan’s Heroes, and they all come before Cheers! and
Night Court.
Man from UNCLE comes before Mission: Impossible; The Rebel and Bonanza come before Gunsmoke and Cimmaron Strip; Dallas comes before Knot’s Landing; Love Boat comes before Angie.
And so on.
One thing I loved doing was selecting themes from cartoons and Gerry Anderson series: Top Cat, Johnny Quest, Fireball XL-5, Stingray (opening and closing), UFO!
The only two I really wanted and couldn’t find were 77 Sunset Strip (at least not the full, closing version, with lyrics) and You’ll Never Get Rich (Sgt Bilko), one of my earliest childhood memories…
I think the only shows from the `90s I have are The Sopranos, Twin Peaks, and Due South, and nothing afterwards. They just don’t make TV themes like they used to…