It seems you are longing for a sound signature that comes from crossover less speakers. Timing and phase coherence is what makes you long for it. Almost all the older speakers which used full range drivers used to have this quality at the expense of sophistication, tonal purity and frequency extension.
Inexpensive route : Make or buy speakers which use one FR driver. You should try the Rethm Bhaava if possible. It uses one full range driver made by boston acoustics. Fantastic implementation!
http://www.6moons.com/audioreviews2/rethm/1.html
I had also posted a review of this speaker on this forum. The boston driver is apparently the same design as the Philips 8 inch vintage.
Expensive route : Make or buy a fully active speaker system. This is expensive but removes the passive crossover from the equation and resultant time and phase coherence has to be heard to be believed. With a 2 way active, you get the benefit of full frequency extension too. Incidentally I was listening to Ilayaraga last weekend on such a system which use scanspeak drivers. What an experience!
Also, if the speakers are voiced to be reasonably neutral by design ( which most speakers are ), then it will not differentiate between western or indian music. Not to worry about this.