I migrated away from Google years ago after a similar incident. I use Fastmail for email. It's decent enough. I am happy to pay for services. I still use Google's search, calendar, browser and location services and Google Play for my android devices. I use YouTube frequently as well. I think the big problem are gmail and drive. By not using Gmail and Google Drive you will prevent something as bad as this from hurting you. My calendar isn't that important to me. If I lost my Google account I'd lose my apps and movies. It's not good, but it's not as big a deal as losing access to my email and personal files.

My cloud storage has always been Dropbox, it's always been great.

I backup my cloud storage (and disk storage) with Arq.