I’d try some internet searches first.
I’m sure there’s a book on this subject out there someplace, but, you might find what you want quicker with some searches.
Lower your expectations about finding a single exhaustive volume on this subject.
I think that it is in Pope Benedict’s second volume of Jesus of Nazareth that he show the correspondence between the Old Testament Day of Atonement and the day of Jesus’s death on the cross.
He also shows (someplace) the similarity between Adam’s “deep sleep” in Genesis and Jesus’s death on the cross.
I don’t know if these examples meet the criterion for being “types” but there is certainly a lot of meaning in them.
Dr. Brant Pitre’s recent volume on the Jewish Roots of the Eucharist, along with Benedict’s books, show the relationship and fulfillment of the “bread from heaven” in the Book of Exodus and Jesus’s feeding of the 5,000 and the Eucharist itself as the bread from Heaven.
I have found what I would casually call a lot of typology, where the OT presages the NT.
But, I haven’t found it all in one book.