I am currently having a custom guitar made for me that basically blends all three types of guitars into one.
It has a single stacked humbucker in the bridge, but there is an elaborate wiring/switching setup that gives me 5 different options with a 5 way blade switch.
The first position gives me classic single coil tone similar to a strat,
The second position is modded to have a little more twang and sort of wah like sound similar to a telecaster. The tone pot is out of the circuit to give the sound a little more pop when I want it. The volume pot still really shapes the sound.
The third position is basically a classic Eldred Esquire mod.
The fourth position is both coils together as a humbucker. However, the pickup is wired straight to the output jack. The tone and volume pots are out of the circuit. The guitar really screams in this setting without any load from the pots. It has more attitude than my Gibson Raw Power did.
The last position is also both coils humbucking with the tone and volume controls left in. This gives more of the Gibson Les Paul sound.
Mine isn't done yet, but I heard another one demo'd and was blown away by the different sounds that one guitar can make. I can't wait to get it. It is also about a third of the cost a new Gibson MSRP.
I have had several Gibson electrics and an acoustic, and I haven't been really happy with any of them. I have run into more manufacturing, finish, and setup hiccups with them. I just can't justify spending the money on them.
I have also had a few fender's that were ok. I never really liked any of the American standards I tried at GC. I found a MIM that I like, but I shouldn't have bought it because I didn't love the sound right away. I sold it about a year later.
I have a Japanese strat that sounds amazing with swapped out pickups. That is my favorite guitar right now.
Anyway, instead of continuing to spend a lot of money, and have several guitars sitting around, I decided to have a luthier build me a guitar with the options and sound I want without any compromise. So if you were to force me to pick between the three I would say none of them and go custom.
I'm pretty sure my strat and my custom with handle just about anything I want to play. I just wish I had a little talent...