In the second century, there was a religious teacher named Marcion who tried to put together a New Testament devoid of any references to the Old Testament. Ultimately, it was a futile attempt as the New Testament is rooted in the Old Testament. Jesus was the Messiah who was prophesied in the Old Testament and who preached messages full of Old Testament verses and imagery.
I find the way the New Testament uses the Old Testament to be quite fascinating. There are some more recent books on this topic, but a good older work is New Testament Development of Old Testament Themes by F.F. Bruce. This book is made up of lectures Bruce gave at Fuller Seminary back in 1968.
In the book, Bruce digs into such topics as the kingdom of God, the Son of Man, the Davidic Messiah, the Suffering Servant and more. Reading this book will give you a greater appreciation of how the New Testament uses the Old Testament. It will help you read both the Old and New Testaments from a fresh perspective.
Bruce brings the clarity of his New Testament scholarship into this wider biblical study. He wrestles with his contemporary Old Testament scholars. This book is well worth reading for anyone who wants a better appreciation of the Bible.