Which Protestant Christian denominations accept the Deuterocanonical books? Which Protestant Denominations accept the deuterocanonical books on equal inspirational footing as the rest of the Biblical canon? I can't think of any, which is of course why I'm asking☺.

I was raised Baptist so we referred to these books as Apocrypha and generally saw them as a distraction from the "true" word of God. I'm curious to see what non-Catholic denominations hold these books to be inspired as well.
The 39 articles of religion in the back of the Book of Common Prayer, used by Anglicans and Episcopalians, says concerning these books (part of Article 6):


  And the other Books (as Hierome saith) the Church doth read for example of life and instruction of manners; but yet doth it not apply them to establish any doctrine; such are these following:


It then lists all the books of the Apocrypha which were found in early editions of the King James Version.  "Hierome" is, of course, Jerome who came up with the idea of calling these books the Apocrypha to begin with.  So its not that they put these books "on equal inspirational footing as the rest of the Biblical canon" but that they are read at least.  They aren't banned from the pulpit as they would be in a Baptist church.  But according to the rule stated here, they can only be used as backup, not to create a new doctrine but only to backup what the Old and New Testaments already say anyway.

In the Daily Office lectionary of every pre-1979 Book of Common Prayer there are two lessons to be read at each sitting, one Old Testament and one New Testament lesson.  Sometimes the Old Testament lesson comes from the Apocrypha.

The Revised Common Lectionary, a Sunday lectionary used by several Protestant denominations, also occasionally gives an optional reading from the Apocrypha in the Old Testament reading slot. It gives a choice, like for example in Year A on the 6th Sunday after Epiphany, it calls for: Deuteronomy 30:15-20 or Sirach 15:15-20

On the Revised Common Lectionary site's FAQ, under the question "What churches are current members of the Consultation on Common Texts?" they list the churches that are part of that consulation, which presumably means that they use the RCL. But that doesn't necessarily mean they read the optional readings from the Apocrypha.