Not a fan of Gibsons. They are iconic in the music industry, but to me they always felt big, bulky and overweight... especially Les Pauls. I also don't like the traditional Les Paul look with that ugly pick guard. The LPs without the pick guard look a LOT better, but still, always feel bulky to me. In the seemingly eternal matchup between Fender vs Gibson, I'll take a Fender 10 times out of 10, but that isn't the question here.
I didn't mention Les Pauls anywhere above though. In fact, I believe more than just about anyone that Les Pauls are some of (if not the) most overrated Gibson(s) around. It sounds like you don't really like them & that's fine by me as I'm not much into them, yet there's no doubt that they still are quality Guitars. They just aren't my favorite Gibson though.
Considering all of that, S.G.s are the real deal, sound better (in my opinion) than any other Guitar & feel quite smooth & comfortable in every way. At the very least, I believe that they're the best overall Gibson. I loved the way my S.G. felt whenever I used it. It's body felt more comfortable than perhaps any Guitar I've ever used. It was so naturally comfortable & had an even, slim, hard rockin' feel throughout. The fretboard is also very smooth & beautiful with such a natural, gentle, yet also incredibly strong feel. Those curves look & work/feel great too. With the fretboard & curves matching up perfectly like that, there's absolutely no "distractions" or bent, blocked feel to it anywhere. A Strat doesn't even compare in my opinion. That's cool if you still like them, but I still highly would prefer a Tele any day of the week. Beyond that, a Strat has a "rubbery" feel when placed up against the smooth feel of the S.G. that I can't say enough great words about. The S.G. just beats most (if not all) Guitars in so many ways. I can understand how you feel about the Les Pauls as I never was one to dream about getting a Les Paul way back then. I always had the S.G. on my mind, not just for looks, but for sound. After trying it a few more times as I got older (and especially after I finally picked mine up) I felt like it sounded better after each "ride." I love the Drums & will stay committed for the most part to Drumming, yet I'll never forget how beautiful, instrumental, massive, chilling, colorful & electric my Gibson S.G. sounded. Talking about my S.G. yet again here brings me back to that sound that was pure, rockin' magic.

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GIBSON SG Standard Heritage Cherry Chrome - midi music Achat / vente ...
Gibson SG Standard Limited Aged Cherry kopen? Bestel online | Goedkope ...
Gibson Sg Standard 2012 - R$ 4.000,00 no MercadoLivre
gibson - sg - standard .jpg
Just try & tell me that any of those don't look comfortable and/or beautiful. It's as good as it gets!
