I had the same problem - the most recent update broke my site, too.
I was able to fix my site with the following db update statement.
UPDATE jos_extensions SET enabled = '0' WHERE jos_extensions.name = 'AcyMailing - Joomla integration'
its not quite as drastic as uninstalling the entire component, but it does mean that acymailing is no longer useable.
I hope a better fix comes out soon !