Christ Church, near Jebel Ali village is a popular church with many western expatriates.
Click this map link for directions. Services are Friday at 9:30 am & Sunday at 7:30 pm.

Holy Trinity, Dubai is home to the Senior Chaplain for the Chaplaincy of Dubai and Sharjah

Father John Weir is Senior Chaplain at Holy Trinity.

Their church compound is home to all churches in Dubai, except
for the Roman Catholic. 11,000 people worship on Fridays in the
main chapel and in multiple halls of three-story buildings which
surround their large courtyard.