The Mongol conquest of the Chin, and then the Sung, led to a period in Chinese painting that principally focused on horses.
In the Il-Khanate of Persia, the ceramic and brickwork showed a marked Muslim influence. Interestingly, although the first Khanate to convert to Islam, the Golden Horde did not show such an influence.
The Chaggadids, ruling over a large population of Muslims also showed Islamic influence to a great degree, which increased under the Timurids.
The Toluids, up to the victory of Qublai Quan over his brother Arik Boka, remained largely animist, and showed few outside influences in their art.
"Christian" art is religious iconography or even one can call Gothic architecture as Christian because its thought process etc. was Christian in nature. islamic "art" is not possible due to the injuncts in the Koran --> unless one includes calligraphy. Islamic "architecture" on the other hands, to some extent yes in the later years when the synthesis of Indic, Iranic, Chinese, Arabic and Byzantine art forms came about, but derived from Islam, I would doubt