I have a copy of the Book of Divine Worship: the Catholic Church-approved variant of the BCP. It is essentially the '79 Prayerbook with certain modifications. Is there any commonality between Rite I Eucharist and the '28 BCP?
Not much, I suspect. I haven't compared them side by side, but I doubt they'd have neglected to make all the Rite II changes in Rite I.
If you are curious, the page in my tagline has links to online copies of the '28 and '79 both (just click on the two images on the top) and you can compare them for yourself.
Being generous to the 1979 book, there is about 90-95 percent text overlap of the 1979 Rite I Holy Eucharist with the 1928 Order for Holy Communion. However, Rite I is heavily compromised by the fact that is in the contemporary "shape" and the theology of the 1979 book is also woefully "progressive." Peter Toon has a good essay comparing them here