Redmine

This could be enhanced by an project specific order for all ticket fields.

This way you could implement some things like
1. field = custom field, 2. field = Assign to, 3. field = custom field, 4. field = target version
etc. etc...

This would be helpful in some of my current projects.

I've seen that can be sorted globally but not in each particular project.

Yes they could be sorted, but just the custom fields itself.
For example:
"Team" should be first, "Manager" should be the second custom field.

But I don't have the abbility to sort a specific custom field in front of a redmine specific field like assignee. Hope this helps to get the point? :-)