Gun rights are on obvious one and everyone throws up their hands in the air saying there is no solution for the problems no one else in the world has.
Less controversial, AirBnB and many Americans argue "it's my house/apartment, I should be able to do what I want" yet those wanting to basically run illegal hotels are exploting a pretty classic case of the tragedy of the commons (in that their neighbours bear the cost).
The UK has a largely unregulated system for trades to the point that after the dot-com crash, many former programmers took up plumbing.
In Australia we have a pretty rigid system for licensing of trades to the point that if you call yourself an electrician or a plumber without a license you can go to jail. You're free to subcontract for a licensed contractor but ultimately someone who is licensed needs to be responsible.
When I lived in the UK, I had a friend who was an Australian licensed plumber (note that plumber here includes natural gas). He said that him and his Australian tradesmen friends used to call the UK tradesmen "chancers". Maybe they can do it and maybe they can't but they'll give it a go. He gave me the advice that if I ever got any work done in the UK get an Australian tradesman.
I don't understand why anyone would argue that you should be able to do what you want when it comes to things like gas and electricity when any shortcuts, negligence or mistakes could kill people. It boggles my mind. Just watch any of the renovation shows on HGTV and you'll see the dodgy things people do. At least a licensed tradesmen is accountable in that there's a record of their work and their license can be yanked. More to the point, any such tradesmen will invoke the permitting and inspection processes that are relevant.
It's the same reason there's a building code. Years ago I heard that Australian builders had agreed among themselves to bid on international projects (Asia specifically) and build to Australian rather than local standards. It's more expensive but at least it'll be much safer.
Laws and regulations can be onerous, sure. But they're also necessary. Licensing simply makes sure that licensees are aware of those laws.