I remember someone porting Mario 64 movement to Minecraft a few years ago. The original is outdated, but here are a few mods I just found for version 1.20.1. Note that I haven’t tested these yet.

Obviously vanilla Minecraft wasn’t balanced around these movement techniques, but they certainly can’t be any more overpowered than elytra+rockets.

Super Mario 64 movement in Minecraft

Quake movement in Minecraft

I would rarely choose to fast travel if I had engaging and interesting means of travel like bunny hopping and strafe jumping in Quake, or wall-riding like Lucio in Overwatch. This assumes the world was built to facilitate this kind of movement and there were challenging obsticles, enemies, treasures, secrets, and other points of interest scattered among a variety of paths for the player to choose. Obviously much easier said than done; Super Mario Oddessy and Sonic Frontiers tried to do something like this on a smaller scale (relative to the large open worlds of other games) with varying levels of success.

Exploration was fun in the BotW and TotK Zelda games, but I found myself relying on fast travel by the midpoint of each of those entries because the enemy camps and treasures just weren’t worth the time nor effort. Dashing on horses wasn’t mechanically deep enough and Ultra Handing vehicles was either too inconvient or resulted in “path of least resistance” designs that led me to hoverbike to new locations very cheaply and easily.

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This is worded better than what I said. The second round isn’t 1/2 because the door you initially picked was 1/100.

I was stubborn about this for so long, and I’m still not entirely sure I understand it, but here is a perspective that made me doubt my belief.

Imagine the Monty Hall Problem, but with 100 doors and only one grand prize. You pick one; it obviously has a 1/100 chance of being a grand prize. Then Monty reveals 98 doors without grand prizes in them such that the only doors left are the one you chose and one that Monty left unopened. Monty obviously arranged for one of those two doors to have the grand prize behind it. The “choice to switch” is really just a second round of the game, but with a 1/2 chance of winning (wrong, your odds change only if you “participate” in round two).

If you stick with your door, you are relying on your initial 1/100 chance of winning. If you switch, you are getting the 1/2 odds of the “second round”.

Apparently with three doors, switching gives you a 2/3 chance of winning, but I don’t understand the math of how to get that answer and I wouldn’t be able to calculate the odds of the 100 door version. I just know intuitivey that switching is better.