For person to person stuff Venmo seems to work ok for me.

If you're running a storefront I've had good experiences with Square, but this is just one datapoint. Their fees are a bit higher than you can get elsewhere, but if you're a small fry doing a handful of transactions a day/week they're fine.

Depends on what you use PayPal for. If it's just transferring money between countries, then TransferWise seems like a good alternative:

https://transferwise.com/invite/u/justinc777 <-- apparently that's an "invite" link. Just use the bare domain name if you don't want to do the invite thing. :)