I don't have a good answer for you, but as far as I know, the Zend platform is the only PHP application server that does everything you list with an integrated graphical interface. My background has been making quite serious material for corporate PHP (cluster application and database stacks) for almost ten years, carefully monitoring the space and launching the Alexa top-1000 website.
Now I will omit the paragraph meaninglessly setting out what you probably already know. :) You can do everything you list - log PHP errors with query / environment data, perform slow MySQL logging and analyze and profile applications - relatively it’s easy without the Zend Platform from the CLI, and I always did it by creating registration sheets in the application, and then things like shell scripts, Mon and Monit for notifications / GUI status. But this is because my experience with high-demand applications - scaling / clustering a single application or stack - compared to running servers where there are many random applications / scripts, and I think the Zend platform will really shine. If you connect to SNMP, you can install this and then use the GUI client to do a lot of what you are talking about, but again, this is not the same level of “out of the box” that Zend provides.
I changed your question and will be very interested if you get the best answer about the Zend Platform alternative, but I don’t think there is an integrated server product that is close.