Asking suggestion for $15,000 audio system for classical music

Counter to miller's and ivan's  convictions on tweaks...

is the position that they should come after you have established your system and are familiar with it.

Build your system first (i.e. components and cabling). It will let you know what it needs. Then address those needs, should you feel and believe they are worth pursuing.

I listen exclusively to Classical.  The OP should allow for SACD capability, as Classical has kept the SACD medium alive and there are thousands of Classical titles in that medium I would therefore get a Universal Disc Player, such as the latest by Sony, Pioneer, or perhaps Yamaha 

 Thanks everyone here for giving me so much suggestion and information. You are so friendly.

I live in Houston area and I am going to choose one of my rooms as listening room. The living room is 20'x18', the height is 10' (flat ceiling). However, it has 4 exists and a window. The other room is 13.5'x13.5', height is 12' (triangle ceiling). 
I like almost all kinds of classical music, like symphonic, chamber, opera, vocal and instruments. But most of time, I listen piano, chamber and symphony. I don't put the volume very high. 
I am not the equipment fun. Just want to have a good audio system and use it for the next 20 years.
Does someone know the good dealers in Houston area and the user groups? Do the good dealer come to my home and help me manage the equipment location?
I hope I have answered the basic information and background. Again, thank you so much!

Save about 2-3K for room acoustic treatments. Contact GIK acoustics and talk to them about your rooms and options.

Great info ! Now we can begin

love all the posts recommendations for quarter mile cars when an enduro might be needed .... anyway

from a theoretical point your square room is probably the lesser sounding of the two but the odd shaped ceiling will most likely help a bit. The other larger room with high ceiling and openings will most likely sound better. Will they be furnished with living furniture, etc or the audiophile sterile dedicated room aesthetic?

i will check my Texas network for ideas on reputable dealers.

do you have much vinyl? What service do you use to stream ? Do you have any CD or SACD ?

have fun