I would love to read up on the Incan empire or just a good (preferably with less bias) history of Peru, would love to learn more. I've got some great books from this subreddit. I've been looking for books and trying to see if there's more "legitimacy" or even just better writing.
I'd check the booklist on the sidebar.
Some of my standard recommendations
For General Archaeology:
The Cities of the Ancient Andes by Adriana von Hagen and Craig Morris is my go-to for something that covers everything; the scope isn't as big as Moseley's volume below, but it's more readable.
The Incas and Their Ancestors: The Archaeology of Peru* by Michael Moseley is also great, but can be a little "textbook-y"
Art of the Andes by Rebecca Stone takes an art historical, museum-esque approach. It doesn't stand on its own as a historical text though.
For Specific Cultures:
The Incas by Terrence D'Altroy is a standard text on the Inca. Nothing too exciting, but it hits all the key points.
Andean Expressions: Art and Archaeology of the Recuay Culture by George Lau covers the much lesser known Recuay culture- as the title implies it focuses heavily on material culture and art, and so gives a more complete picture of the archaeological process in approachable language.
Chavin and the Origins of Andean Civilization by Richard Burger discusses some of the earliest pan-Andean movements; a little dated, but the most accessible text on the period.
Ancient Tiwanaku by John Janusek can appear a little dense, but is well worth it if you want something a more academic and anthropological.
Hillforts of the Ancient Andes by Elizabeth Arkush is a study of alliances and conflict during a turublent period in Peruvian history using GIS Spatial Analysis. The theory and technique here is cool without being complicated.
History & Anthropology:
Vertical Empire by Jeremy Mumford covers both Inca economic infrastructure and how Spanish colonialism adapted and transformed it for its own purposes. The most accessible of these books on the colonial era.
Colonial Habits by Kathryn Burns looks at convents and nuns in the colonial social order, primarily in Cuzco. Lots of great discussion of how gender, culture, and religion intersected with power in the early modern world.
Invaders as Ancestors by Peter Gose is a theoretically packed but incredibly rewarding analysis of the interaction between the religious authorities and native populations of colonial Peru. I'm no historian, but this book is in top competition as my favorite about the region. It diversifies the membership and strategies of the clergy who ministered to the natives, and it restores native agency in events instead of the typical "white man beats indian with stick until he believes in Jesus" story with some cool stories of natives appropriating and navigating Christianity as their own source of political and social power. It also directly discusses the question that pops up here so often: "Did the natives really think Europeans were gods?"
The Hold Life Has by Catherine Allen is the classic ethnography of modern Quechua speaking people. The description of indigenous life might be a bit dated, but the descriptions of native-mestizo-Spanish (aka rural-highland urban-coastal urban) interactions are timelessly relevant.
If you've got any more specific interests (warfare, religion, food, etc.) I can recommend some articles or other books that cover them.