The 2000 year old Orthodox Church still adheres to them in its Canons.
The Orthodox position is that the Apostolic Council is still binding, and this includes the prohibition on eating blood. Two canonical sources which uphold the restriction of Acts 15 are:
Canon LXIII (63) of the Apostles: If any bishop, or presbyter or deacon or anyone else on the sacerdotal list at all, eat meat in the blood of its soul, or that has been killed by a wild beast, or that has died a natural death, let him be deposed. For the Law has forbidden this. But if any layman do the same let him be excommunicated.
Canon LXVII (67) from the Quinesext Council: Divine Scripture has commanded us to ‘abstain from blood, and strangled flesh and fornication’ (Gen 9:3-4, Lev 17 & 18:3, Acts 15: 28-29). We therefore suitably penance those who on account of their dainty stomach eat the blood of any animal after they have rendered it eatable by some art. If therefore anyone from now on should attempt to eat the blood of any animal in any way whatsoever, if he be a clergyman, let him be deposed from office; but if he be a layman let him be excommunicated.