Interesting discussion- I'm surprised that there's a lot about pups and platforms, but less about the wiring necessary- with that said:
1. If you don't want to mod, as mentioned before a tele is one of the few out of the box guitars that really can cover most everything as long as you are willing to do a lot of amp and effects to beef up the sound when needed- Nashville tele is the one guitar that covers most everything if you like 25.5
2. Dual humbuckers (especially Les Pauls) are good at covering humbucker type songs, but are incredibly challenged getting anything like a tele or strat out of the box- So Jimmy Page mods are a good place to start- (I prefer parallel pup to self to remain noise canceling instead of splits) There are lots of variations, bass roll off is wonderful to get thinner 2nd guitar overdubbed sounds- Here's an LP with a P90 neck and a Pearly Gates bridge example- covers a lot of ground.
https://forum.seymourduncan.com/sho...e-mod-with-Diagram-and-Vid&highlight=les+paul
3. My favorite answer is an HSS strat with heavy mods-
1. A bridge bucker that covers lots of space and splits well for 2 position- I've got a JB in the bridge of my cover guitar (Parker NF) and it' fits perfectly from ACDC to Dire Straights/Clapton in the 2nd position. There are lots of good alternative pups for brighter or warmer strats.
2. I like Blade humbuckers in middle and neck for a cover guitar for 2 reasons-
a. Spin a split can take a blade down to a bighty, thin teleish sound
b. Or at full spin some get as fat as a mini-humbucker.
c. You can keep noise canceling through most settings
d. I like the Dimarzio cruiser as a center pup- Low power encourages quack in 2nd and 4th
e. I use a cool rail in the neck because it can drive like a humbucker, but easy to back off for strat like tones
3. Last but not least, a blend circuit that gives neck + bridge as well as series sounds covers, so , so much ground
a. Neck plus bridge for classic tele
b. Series for darker, more powerful Les Paul Deluxe leads
c. I end up getting rid of both strat tone pots-
i. 1. Is spin a split- activated by pullpot
ii. 2. Is Blender activated by pullpot
4. Forgot to mention bridge piezo to cover accoustic
a. For me it requires heavy strings, but I like heavy strings
b. Happens to be built into my Nitefly, so one less thing for me to do
Of course, everything is a compromise, and I will use dedicated guitars for recording,to get pristine sounds. However, these approaches helped me thin down from 3 guitars to 1 for most gigs.