The ones I seem to keep going back to:

Ibanez Tube Screamer (now in mini form)
Late 70s Jen CryBaby Super
Late 70s EHX Small Stone
EHX Small Clone
Fuzz Faces (silicon and germanium)
Octave fuzzes - currently the EHX Octavix
EHX HOG
T Rex Tremster
EHX Memory Man
Univibe

And too big to really call a pedal though it does have a footswitch, a Fender ‘63 reissue valve reverb.

Rat pedal.
 
That's been the consistent one for me over the years.  Had several different flavors of them and I'm on a deucetone now.
 
Works on my moog phatty or guitar like nothing else.

On my pedal board:
 
Wampler Ego Compressor
Wampler Tumnus
Joyo Ultimate Drive (OCD Clone)
JHS Andy Timmons
Mooer Orange 90 Flanger
Boss CH-1 Chorus
MXR Carbon Copy
Boss RV-6 Reverb
 
Still need to add a tuner.    Maybe a Univibe one of these days.  

I'm mostly acoustic these days, but even when I play electric I don't use effects much. I have a beefed up old Laney VC-30 from the late 90's when they still made them right. I've got a great tech out in Staunton, IL who gave the overdrive channel a Twin Reverb tone stack and changed some coupling caps among other things to get a Fendery sound and gave the master volume more overdrive by changing some resister(s). Sounds like a 30-watt Twin now with great overdrive that cleans up real good by backing of the volume on the guitar like it should. It has decent spring reverb. I put linear pots in my guitar so I can do quick staccato volume swells and a good wah-wah sound with the tone control. I also take the dampening grease out of my pots so the knobs turn easier and flip the control plate around for easy access to the knobs. Aside from reverb and overdrive, I don't like effects with a Tele. I still have an eBow but don't really use it much anymore. I also have a Boomerang looper but mainly use that with my acoustic rig.
 
I have a video on setting your guitar up for volume swells / tone wahs if anyone is interested:
 

The one I really miss from 'back in the day' is this Carlsboro echo pedal. Such a warm sound, loved it.
 

I like using stomp boxes with my tube amps
 
Boss TU-3 Tuner
Ibanez TS9 Tube Screamer
BOSS NS-2 Noise Suppressor
DOD Phasor 201
MXR M152 Micro Flanger
T-Rex Engineering Tremster Tremolo
Dunlop MXR M169 Carbon Copy

After I built a diyre reamp box, i started adding th3 stomp boxes to my chain to my real amplifier. I have an fcb1010 pedal board. This means I can try pretty much any pedal I want. Because I only have 1 reamp box, I only have 1 insert point in my pedal chain, but it doesn't have to go first. Honestly, I do tend to put it first. This means i can put the fx from the computer before one thing and after another if I want.

I like using the smallest hint of expander with a little parallel compression too, when playing clean. I use my hardware compressor and my rme expander.

I could probably figure out how to turn the compression on and off with the fcb1010, but I haven't done that yet.

It is interesting to hear the difference between my real screamer and the th3 equivalent. Lots of learning without spending any money.

Now here is where there is a leak in the financial boat. Earthquaker. I've picked up three this year. Hummingbird, sea machine and transmisser. I mess with them for hours.

I am a bass player, but really like stompboxes.
My never go off is Tech21 SANSAMP Bass Driver (Deluxe) and Bass Clone (chorus) which is based on Small clone stompbox. I often use my Bass Big Muff with guitar, it works.
 
Stompbox world is so big, so I can't tell what do you really need)

Of the FX in TH3, the Vanilla soft drive and the Mercury box are my favorites by a lot.
 
Other than those and a gate, I basically don't need anything in TH3.

MY CURRENT PEDALBOARD: