Depends on what you want but a very solid free CDN and DNS option is: host your site on netlify and use dns.he.net for your nameservers.
Another good DNS option is dnsimple.com or, indeed, EasyDNS. For even more redundancy, use one provider as your domain registrar and another for your nameservers (and set short TTLs for your zones so you can re-point IPs quickly if you need to).
For the other things Cloudflare offers on their free tier, I'm not sure what good alternatives exist (there must be some, I'm just not familiar with them outside of the obvious AWS alternatives).
Edit: one caveat with above advice, I have no idea if netlify use cloudflare behind the scenes...
Another good DNS option is dnsimple.com or, indeed, EasyDNS. For even more redundancy, use one provider as your domain registrar and another for your nameservers (and set short TTLs for your zones so you can re-point IPs quickly if you need to).
For the other things Cloudflare offers on their free tier, I'm not sure what good alternatives exist (there must be some, I'm just not familiar with them outside of the obvious AWS alternatives).
Edit: one caveat with above advice, I have no idea if netlify use cloudflare behind the scenes...
Edit 2: For other options, checkout https://www.cdnperf.com/ and https://www.dnsperf.com/