Websites to Play Chess

In no particular order all pages offer free play, some offer
premium features for added cost.

Internet Chess Club (one of the oldest online chess websites)
https://www.chessclub.com

*Chess.com (offers free play, some analysis tools, and more)
https://chess.com

LiChess (amazing free and open-source online chess playground)
https://lichess.org/

FIDE Online Arena (free and paid chess platform run by FIDE, the
International Chess Federation, paid membership does afford the opportunity to earn an official FIDE Arena Title).
https://worldchess.com/

For Books and Study

Again in no particular order

LiChess (besides online play LiChess offers study areas for private and public chess study, an online engine of Stockfish to analyze your games, an opening database, and a huge database of games and opens).
https://lichess.org/

Chess.com (like LiChess, Chess.com offers a whole lot more than just online opponents and “good fair-play” anti-cheating algorithms). The website also offers introductory classes and puzzles, and analysis for free, and opens up a huge trove of features if you pay)
https://chess.com

Chessable: a great website for studying openings, chess puzzles, tactics, and more. Chessable recently (2022) was acquired by Chess.com and there are integrated features between the two platforms. They remain distinct but useful. Like Chess.com Chessable offers free services, and paid services associated with a premium membership. In addition to the premium membership you can purchase individual courses from Chessable.
https://www.chessable.com/

Chess Tempo: a place to play chess, do puzzles and buy books https://chesstempo.com/

LiStudy: Free website to conduct studies do puzzles and more
https://listudy.org/en