The specified type member 'Date' is not supported in LINQ to Entities. Only initializers, entity members, and entity navigation properties

DateTime.Date cannot be converted to SQL. Use EntityFunctions.TruncateTime method to get date part.

var eventsCustom = eventCustomRepository
.FindAllEventsCustomByUniqueStudentReference(userDevice.UniqueStudentReference)
.Where(x => EntityFunctions.TruncateTime(x.DateTimeStart) == currentDate.Date);

UPDATE: As @shankbond mentioned in comments, in Entity Framework 6 EntityFunctions is obsolete, and you should use DbFunctions class, which is shipped with Entity Framework.

You should now use DbFunctions.TruncateTime

var anyCalls = _db.CallLogs.Where(r => DbFunctions.TruncateTime(r.DateTime) == callDateTime.Date).ToList();