ELinks is an advanced and well-established feature-rich text mode web (HTTP/FTP/..) browser. ELinks can render both frames and tables, is highly customizable and can be extended via scripts. It is very portable and runs on a variety of platforms.
elinks is now maintained again at https://github.com/rkd77/elinks and yes, I've verified that it does not connect to sites with invalid TLS certificates.
elinks.tgz
Description: elinks.tgz