you can go to any malls..you will find lot of shops like lifestyle, shoppers stop selling them. there are others like W or biba who have a good collection.
If you are looking for handloom fabrics-cotton and silks try Purvi Fabrics-It is an amazing shop with a large variety of prints and colors. They also have a good selection of duppattas and stoles (beats FabIndia in design and choices). It is in Andheri...sorry I don't remember the exact address but is near a restaurant called Urban Tadka-to give you ageneral idea of the location. Apparently the movie folks go there for their needs and they do have an extensive collection under one roof.
Hi If you are in search of Dress material then HindMata in Dadar and Gandhi Market near Kings Circle are great . It all depends on where you are staying . Every locality has a good market place where you will find good stuff
Just go to elco arcade, you get all what you want. From exclusive fabrics to readymades and that too at good deals. Incase you are not aware, elco arcade is a famous shopping landmark on hill road in bandra west. Any rickshaw can take you there from anywhere in mumbai..its that famous. Remember to negotiate well.