My husband has weak ankles and orthotics. He likes Allbirds as a brand. His shoes are laceup.
Allbirds has slip-ons.
They are mostly fabric tops with foam soles.
Here is a slip-on model.
https://www.allbirds.com/products/mens-wool-cruiser-slip-on
With shoes, I find ordering from Amazon and DSW a few pairs at a time to be the fastest way to find shoes. If I order 3 pairs, 1 will usually work.
Cole-Haan also sells very popular slightly dressy leather-topped sneakers.