I'd like to acknowledge the work of the following authors, astrologers, and researchers. Without their work, my knowledge in Vedic astrology would have been limited.

Radhe, I've found her books to be the most helpful. The following is the list of the books she has authored:
Your healing stars - Volume 1
This is a great book for beginners.
Your healing stars - Volume 2
This book integrates Vedic astrology and Ayurveda.
The divine forces of Lunar Nakshatras
This is one of the best books on Nakshatras in my opinion

Prash Trivedi, his books are well researched. The following is the list of the books he has authored:
Astrology for the 21st Century
This is a great book for beginners.
The book of Nakshatras
This is another great book on this topic
The Rahu Ketu experience
Another well-researched book.

Kapiel Raaj Hats-off to him for creating so many insightful videos on his YouTube channel Astrology KRS.
Vishal S. Saxena Hats-off to him for writing so many wonderful articles on his website: astrosaxena.com.

Now, all the classics, the following is the list of books in my library. I am still in the process of reading and understanding these books.
Brihat Prashara Hora Sastra Volume 1 & 2

This is the oldest and most respected book on Vedic astrology. This book is authored by Maharishi Parashara, some might call him as the founder of Vedic astrology, and rightly so. I have the English translation of the book written by Girish Chand Sharma. There's a free online version of this book, which you can find here.

The Brihat Jataka

This book is authored by Varaha Mihira. I have the English translation of this book written by N. Chidambara Aiyar and another translation from B. Suryanarain Rao.

Jataka Parijata Volume 1 ,2, & 3

This book is authored by Vaidyanatha Dixita. I have the English translation of this book written by V. Subramanya Satri.

Saravali Volume 1 & 2

This book is authored by Kalyana Verma. I have the English translation of this book written by R. Santhanam.

Hora Sara

This book is authored by Prithuvayas, Varahamihira's son. I have the English translation of this book written by R. Santhanam.

Phaldeepika

This book is authored by Mantreswara. I have the English translation of this book written by Dr. G.S. Kappor.

Jataka Tatva

This book is authored by Mahadevji Revashankarji Pathak. I have the English translation of this book written by S.S. Sareen.