I am not sure that classification of philosophies and philosophers is of any use. What's more important is the principles formulated and less wrong generalizations about certain aspects of reality being made. It should be called Ideas, but idealism (the notion that there is nothing exist but Ideas) is as wrong as a disconnected from reality metaphysics.

So, the seers of Upanishads and non-lamaist sects of Buddhism (Hinayana), being seekers after truth with emphasis on seeing things as they are have described most significant principles of philosophy of the mind and moral philosophy something about 6 century BC, if we consider philosophy of the Buddha as culmination of that epoch.

There is the famous two volume work by Radhakrishnan which gives obviously a Hindu centered overview of the philosophy of Indian civilization. All the fundamental ideas are there, including the notion that all phenomena are devoid of any absolute essence, are mere appearances to the senses of different aspects of what they call the whole - Brahman.

Some later Buddhist sects have rejected the notion of Brahman and maintain that the real nature of all phenomena is void.

To put it simple - Hindus got the fundamental principles right few thousand years before West.