NFL

I'd change how the draft works.

Bottom 8 teams don't get a 1st round pick. 9th worst team picks first and it proceeds as normal. Rounds 3 and 4 are like the first round. Round 2 is where the big changes happen: each of the bottom 8 teams drafts 3 times in snake order. Picks for the 2nd round are protected and can't be traded. Rounds 5+ don't really matter so they either go away or proceed as normal.

So basically the teams that suck the most can't suck their way into a top tier QB, but they get a lot of quality picks to build up a core roster. So it would both discourage tanking for a QB while getting bottom teams help where they need it. Bad teams on the cusp of the 8-9th pick get to engage in game theory. Everyone else gets a slightly better 1st pick, but a slightly worse 2nd and 3rd pick. The best players also get a slightly better chance of getting picked by a competent team to develop them.

Another benefit is bad teams can't count on lucking into a great pick so there's more motivation to be a competent organization because rebuilding your team probably won't happen overnight.

Cons:

No Stroud to the texans or Burrow to the bengals would happen in this scenario. Good teams can't trick bad teams into trading their picks away.