The Les Paul is one of the most successful yet functionally obsolete and impractical designs on the market..but I would not say it's ugly at all. It's a great looking design with a beautiful headstock.
Yes, the sound has been on countless iconic albums, but I think the classic and aesthetically appealing look is another reason it has endured for as long as it has, despite it's relative tuning instability, 9-10lb weight, fragile headstock, blocky design w/ zero comfort contours, terrible (but improving) quality control, butt dive, poor upper fret access, and other outdated features. I've owned one in the past and probably will again in the future for the right price.
The Abasi design, and the Majesty are much more functional but aren't lookers lol. I would own a Majesty right now if it looked a little more pretty but it really is an acquired taste to say the least.