Without any hint of syncretism, Buddhism has a fair amount of material that can be supportive of an Orthodox Christian perspective and is a worthy subject of inquiry for those who have the time.
Unfortunately almost all of the Orthodox discussions of Buddhism I have seen are plagued with misunderstandings, such as equating Buddhism with nihilism. Probably the most intelligent Orthodox discussion of Buddhism I have seen is this one by Patriarch Bartholomew:
http://orthodoxwayoflife.blogspot.com/2009/11/on-india-and-buddhism-ecumenical.htmlA lot of the basic Buddhist concepts are complementary to a Christian worldview... for instance, impermanence facilitates our meditation on death and non-self can be helpful in an apophatic approach to theology and psychology.
One of these days, I would like to write an article discussing the many parallels I saw between the thought of St. Maximus the Confessor and the Hua-Yan Buddhist discussion of interdependence and interpenetration of phenomena.
Your best bet is, with a solid foundation in Christianity, to look at foundational Buddhist texts and see the parallels and differences for yourself. Once you've familiarized yourself with the basics of Buddhist doctrine and history, I find the following books to be very helpful:
In the Buddha's Words, a collection of Pali sutra material, edited by Bhikkhu Bodhi
The Way to Buddhahood by the monk Yin Shun
Hoofprint of the Ox by Sheng-Yen (if you're curious about Zen/ Chan)