Weightroom

I like rigidity in the shoe itself, including a rigid sole. With good support wrapped snug around the tops of my feet (tight shoelaces and/or Velcro strap), I feel more secure/stable throughout the entire range of motion for a squat or deadlift.That's the main reason why I stopped lifting barefoot or in grippy socks.

At the same time, I like thin soles for deadlifts. I know 5mm or 10mm isn't a huge difference in terms of starting position, but psychologically it does make a difference for me, when I feel like I have to reach just a little bit lower. Compare different "stack heights" to figure out which shoes have thicker or thinner soles. And look at the "heel drop" to understand how much the heel is elevated compared to the toes.

A lot is going to come down to personal preference and lifting style (for example, your stance) and physical characteristics (foot width, ankle mobility, etc.).

Weightlifting shoes are generally for weightlifting, not powerlifting.

Just go with a flat sole shoe that doesn't have a lot of padding in the cushion. Converse are popular and I used to wear them but I like wider soled shoes. I got some flat and wide Pumas on clearance and they work great. There are lots of skateboarding shoe varieties that also work great. Just not the really cushiony ones. You don't want your shoes to squish when deadlifting.

I just use flat, thin soled shoes, like what skateboarders wear. Gives good balance and toe feel.

I go barefoot because homegym, but I once got the recommendation to look for water shoes. That is, thin shoes with a rubber sole meant for use at the pool. But that also makes them reasonable as a flat sole shoe for gym.

i'd recommend something flat to the ground with a wide toebox. personally i like lems primals, but there's a lot of options. the problem with high sole shoes is you want stability while lifting

Thanks all for your advice, looks like ~~foot~~ flat soled shoes or barefoot shoes would be the best option for me!

I've been fine with high top plimsoles like converses and vans. Lately I got a sort of ethical pair from a company called nothing new, but they're all the same really.

generally not keen on a wedge and that either, would prefer to directly tackle lower leg mobility if it's holding me back.