Hmm i don't think my following suggestions are necessary but i will tell them why not (some of them may be too much, i know.You are free hosting in the end so we shouldn't be greedy haha)

.. so if i repeat some that others said but i prefered not to read 6 pages

Ip Deny list
Password Protect Directories
Server Status (A page on zymic that will show the servers status,which are up and which are down,an estimated time of fixing,reason of falling,server load,total uptime/downtime etc.. i think this will solve the "problem" of posting "mysite is down

... anyway just a suggestion)
Multiple languages for the hosting panel
Tutorial Videos of how to, and/or a getting started video or wizard for new hosting accounts

Ability to enable/disable hotlinking manually (with a list of allowed sites to hotlink)
Site Catalog! A page that all zymics hosted sites will be divided in categories (define which category someone will be from the hosting panel)(it could help fight sites that break the ToS)
Cancel Webhosting Account Button
Give free domain in exchange of ads (i know i have said that before in some other post somewhere else

)
Or give "something" in the exchange of ads e.g points.. in 1000 points you get a domain or email or something else.. points may given by the time that the ads exists or click or something else i haven't thought.
Referrer links(based on my theory of point system

)
Point system, ability to spend you points in something of you choice e.g domain,site promotion,traffic generator,layout coding etc...
I hope you like some of those.. if i think more i may post them