Choose a registrar that doesn't charge you extra? Your name stays in, of course, but your (electronic and snail) mail addresses and phone number can be replaced by registrar-managed ones where they forward you incoming stuff and (mostly) keep the spam.
It's a pretty common thing with European providers, I think.
OVH is weird, they quite often don't obfuscate all contact data. I switched to namecheap for some and they don't leave any of your original data in there.
OWO is sadly not available for some domains I use (notable .de and .eu don't seem to allow OWO).
WHOIS blackout and redesign under GDPR should address the problem of some registries requiring non-obfuscated WHOIS (some even requiring me to put in the ID number of my ID card)
It's a pretty common thing with European providers, I think.