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The installation and Adminer itself only requires a single PHP file. Once it's uploaded you can log in and start using it.
Pro Supports more than MySQL
It supports several database management systems (Postgres, SQLite, Oracle, MS SQL and of course MySQL)
Has a great variety of themes which transfers pretty ugly application into a great looking one.
Pro Database views
Anyone who uses the views function will appreciate Adminer better. You can click on a view and edit to change the view. In phpMyAdmin, you can edit a view, but it's not easy or intuitive. SQL Buddy doesn't have any way of doing this.