Interestingly, I haven't seen too much discussion of Hinduism or Buddhism in halakhic sources, despite their prevalence and what I agree seems to be some halakhic ambiguity. (Eisenstein has an entry on Buddha in his book, where he writes that it's a 'new idea regarding Godhood', but doesn't elaborate).
Regarding Hinduism, this Hirhurim blogpost notes that even if the belief system isn't strictly idolatry, their practices are. Likewise regarding Buddhism, Wikipedia declares Buddhism to be a "nontheistic religion", which shouldn't pose a problem in and of itself, but the same article states:
Devotion is an important part of the practice of most Buddhists. Devotional practices include bowing, offerings, pilgrimage, and chanting.
The practices of bowing and giving offerings of (animal or) incense towards anything other than the One God are considered avodah zara practices (Sanhedrin Mishna 7:6) and therefore it appears that any statue or ritual object that has been used for such devotional practices would indeed be prohibited as avodah zara or tashmishei avodah zara.
However, this is not necessarily so clear, as certain devotions are actually meant to be done with the intent of devoting oneself to what might be referred to as the one God, creator of the universe. The Shach (151:7) says that even these forms of devotions to Hashem along with another deity is permitted for a non-Jew, and the Avnei Nezer (Y.D. 123:9) extends this even to the statue itself (which is the object of such an incense sacrifice or bowing).
R. Akiva Tatz, in Letters to a Buddhist Jew, writes that Buddhist temples and statues are indeed Avodah Zara, because they are used for servitude of this kind. (He understands, based on the Rambam in the beginning of Hil. Avodah Zarah I assume, that all of idol worship is actually the worship of 'lower spiritual forces' with the recognition that there's a greater God.) He doesn't phrase the reason for the prohibition in this way, but it seems like his reasoning is that despite the fact that these statues aren't worshiped in and of themselves, they are still object of devotional bowing, an idolatrous practice.