This thread is most interesting: the seemingly simple question is complicated by implicit disagreements on the meaning of “divine liturgy”, and “daily”.
To the best of my knowledge, in the Byzantine practice, there is only one day on which a liturgy with communion is not allowed: Great and Holy Friday. On other days we may have either the DL of SJC or SBG, a vesperal liturgy of SBG, or on M-F during the great fast, the presanctified liturgy. Some folks don’t think the term “divine liturgy” applies to the presanctified service. But if we neglect that details, then I think it fair to say that the possibility of serving a liturgy that can be served on every day but Great and Holy Friday qualifies as “daily”. In some churches, the days of presanctified liturgy have been limited eg to Wed and Friday.
Daily liturgy is served in some EO cathedrals and monasteries. At least one EO saint is known for having served the liturgy daily since his ordination. Here are some links to discussions at
OC.net
orthodoxchristianity.net/forum/index.php?topic=24544.0
orthodoxchristianity.net/forum/index.php?topic=20827.0
I am curious as to how this practice is taken to be a Latinization.