Thanks for writing in!
If you don't like the look of the standard /events archive page, you can use any of the included shortcodes with Modern Events Calendar and build your page using the content builder. For example you could create a custom page called "Events Archive" and add any elements and any page template you want, then just output the event archive on the page with the shortcode.
Shortcodes are available under M.E. Calendar -> Shortcodes within your wp-admin.
For more information you may refer to the links below
Hope that helps.