I will try not to visit any websites that don't accept anonymization software or try to block them by using cloudflare or what ever.
Cloudflare does not block anonymization software, it blocks what it thinks are DDoS attacks. It is still possible to access a site using cloudflare using TOR (or an anon VPN) but you just need to solve an annoying capha that is very difficult and takes many tries.
Many sites that do not accept TOR decline to accept TOR exit nodes because a lot of malicious activity happens on their site from users coming from a TOR exit node.
Even this forum makes users pay a small fee (of less then a penny, on most occasions) if they sign up for their account from TOR