None that are built into a class mechanic as a passive trait. All instant respawns and health refills are active abilities, not passives that prevent death.
Even an evasion mechanic like Feign Death doesn't just give Hunters a second chance at life. You need to actively use the ability.
The vehicle mechanic you're suggesting is another lifebar entirely. It's not anywhere remotely the same as an instant rez or a full heal. Even Druid or Demon Hunter forms would be the closest comparable mechanic, and they don't act as secondary lifebars. You have the choice to go back into your base humanoid form and have access to different abilities, it's not a mechanic that's forced on the class as some sort of built in weakness.