There's probably been threads elsewhere where people have discussed this in more detail, I'll see what I can find on that front. A list for my own benefit of things I will try and find are:
- Device / App stats (see Logs section)
- Zigbee routing table (if relevant),
- Database size and device event and attribute settings
In terms of some of the drivers I was suggesting, the main one at this stage is probably the Hub Information Driver. It can poll for various status information on your hub, including load, memory usage, database size, etc
Once you move on to things like devices misbehaving or apps as well I think, you can start to look at things like the Device Watchdog app by Bryan, but I don't think that will be of use for you just yet.
Let me follow up on the list I made above.