The one I use (and is called deodorant, not anti-perspirant) is Tom’s of Maine and I experimented to find the one I liked best (calendula in the end, they seemed to stop doing the coriander one which was also v good). I found it surprisingly effective, it’s in a sort of gel stick.
It was even surprisingly effective in somehow stopping the excessive sweating. Have also used a crystal thing but wasn’t sure what ingredients were, and have a tube of that other supermarket Bio one - where you add water? - which haven’t yet used as am happy with the Tom’s.
I’ve noticed that sometimes the supermarkets stock slightly misleadingly labelled antiperspirants and you have to read the labels carefully - hence I no longer shop there and instead hie to the wholefood store.