The 2 that I constantly read are:-
Yang Chengfu “The Essence and Applications of Taijiquan”
Fu Zhongwen “Mastering yang style Taijiquan”
Both trans. Louis Swaim. If you do Yang style, buy these book, they are indispensable. This is the form that my Sifu taught me, except for a slight difference in sweep lotus with leg.
Lawrence Galante Tai Chi: The Supreme Ultimate
Excellent book. Lots of info rather than just focusing on the form. One chapter relates the tai chi form and the occult, my first exposure to the non-western-exercise aspects of Tai Chi. Pioneering work on stance height using heart rate monitoring. Before the wireless transmitters we have now. This book inspired me to use my polar while doing form. When I was in my first year with my Sifu I could get my HR up to 145 with a low stance (same as jogging HR at the time) This year I was ~108 HR
The Tai Chi Handbook Herman Kauz gets a mention as the first Tai chi book I tried to learn from. I wanted to learn again when I went to uni and couldn’t find a class (probably too shy) Brought this and took 6 months to learn a rather poor grasp sparrows tail using this book. Also first book I had ever read with push hands and self defense applications.
They are the 4 I thought of immediately and I know where in the house they are hiding. There are heaps of other I'll probably think of later. I tend to buy anything with Tai Chi in the title that isn’t just a bunch of pic’s of a form