I've found watching STAR TREK in (mostly) production order is SO much better on so many levels, and there is a surprising amount of "continuity" that is simply not apparent at all the way NBC ran it. Mostly stuff NOBODY ever, ever mentions (not that I've seen).
Like the direct connection between "COURT MARTIAL" and "THE MENAGERIE". The opening scene in "MENAGERIE" refers directly to the climax of "COURT MARTIAL", yet "COURT MARTIAL" was run at least a month later.
You know, I saw the SAME thing in the 2nd season of NIGHT COURT, once I figured out what order the episodes SHOULD be watched in. (Part of it you could tell just by the length of Ellen Foley's hair... heehee)
Each time I've watched DOCTOR WHO lately, I've been doing it differently. A few years ago, I decided to watch EVERY single story in my collection... all "movie" versions, of course, and ONLY the ones that were in syndication in the 1980s. I have NOTHING that was released since... except for "Tomb of the Cybermen", which I got on video the month it came out.
Once, I started just with the Roger Delgado stories. Another time, I started with the Mary Tamm episodes!! (I've liked her from the instant I saw her, and that's only increased over the years. Too bad she only did one year.)
Once, I watched a set of Daleks stories back-to-back-- starting with "Destiny". (I just DON'T LIKE "Genesis". And, I've seen it too many times. The last time I watched it, the time I watched EVERY story, I decided, that was it, the LAST time I'd ever watch it.) I ended my Daleks mini-marathon with the 2nd Cushing film. STILL my all-time favorite Daleks story!
Quite a few years back, I'd watch an entire run by one Doctor, then an entire run by another Doctor... but jumped around, so they weren't in order.
More recently, I actually spent a month or two rotating between 3 or 4 Doctors between EACH story!! That was a LOT of fun! (Mostly, Davison, Colin Baker & McCoy)
The current run (which I started sometime last year), I started from the beginning again... but decided, okay, THIS time, I'm gonna SKIP anything I just don't like!! And, in a fit of absolute absurdity, the first 2 Daleks stories, I watched the Cushing films INSTEAD of the Hartnell versions!!
But thanks to Youtube, this particular run was the ONLY time I have EVER seen the 2 pertwee episodes that were MISSING from syndication in the 80s-- "Planet of the Daleks" part 3, and "Invasion of the Dinosaurs" part 1!!!
Somehow I made it through EVERY Pertwee this time... even the ones I DON'T like. But I did skip "Genesis", and once I get to the JNT era, I'm sure I'll be skipping a LOT more.
The crazy bit was when my VCR broke down right after I watched "The Deadly Assassin" part 3. So for about 6 months, Tom Baker's Doctor was DEAD!!
Decades back, I once dug out "The Android Invasion" to show to a friend who had NEVER seen the show. he got hooked. Yeah-- THAT one, which fans are always knocking! I like it.
For many years, the only stories I ever dug out all by themselves-- totally separate from the rest of the show-- were "Ressurection" (to help me make sense of it-- it really IS a bloody mess, and MY syndication copy is MISSING tghe music and sound effects from the 2nd half!!), and "Terror of the Vervoids" (because I just adore Bonnie Langford).
However, in recent years, a 3rd story has been added to that number... "The Gunfighters". It's become my FAVORITE William Hartnell story! And at least once, I watched it as part of a "Wyatt Earp" marathon, which included MY DARLING CLEMENTINE, GUNFIGHTER AT THE O.K. CORRAL, TOMBSTONE, RETURN TO DODGE, and "Spectre of the Gun". They may not be "accurate", but the guys who played Earp & Holiday on DOCTOR WHO are among the most likable and watchable.