It's interesting to me that Cloudflare doesn't really have any competition with a similar business model. I suppose the free plan requires quite a lot of spending before the upgrades offset it.
Full disclosure, I work at Google on the SRE team for Cloud CDN. If you want a credible alternative for the CDN part of Cloudflare, our product is extremely fast. We were all very sad for Cloudflare and watched the whole affair closely, as we've got a few customers that use our services alongside Cloudflare's.
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/