I used to have a great 72 Les paul custom, it weighed about 8lbs (3.5 kg for all you youngsters), and played great. I worked in a music shop and had my pick of what came in, whihc was how I picked it out. I was young and stupid though and sold it....
Then in 1991 I decided to buy a Custom Plus. I had a friend who worked at Sam Ash in New Jersey and she let me go through all of the ones that they had (about 10). I liked 2 of them and in the end the colour sold me (even though the 'bookmatch' was under the D string instead of between the D & G). I traded it in 1996 for a 1972 reissue black beauty (with the Alnico & P-90), which I still have. Most of my other Les Pauls are all either vintage, or custom built replicas. However in 2000 I found a 1986 limited edition Darkback Goldtop, which is a great guitar (it has a set of PG Blues in it now and sounds incredible). If I could find the 1972 Custom, then I would buy it in a heartbeat, but since I doubt that I will find it, I am thinking of getting a Greco or other Japanese make.
I can also tell you that buying a custom one is well worth it, as you will get exactly what you want and can specify the neck size, weight, nut width, finish, etc.