Cannot access .local addresses from my iOS devices
I figured out a temporary work-around:


Turn airplane mode on and off


This flushes the DNS cache on the iPhone, which caches DNS resolutions set by Apple's Bonjour, which uses .local for things like airplay and printer service broadcasting.

Once you do this with airplane mode, access to .local addresses on your network should start working, but it's only a temporary fix.  Once Bonjour tramples over the DNS settings, it will stop working again.  You can repeat this trick to restore access, but for a more permanent fix, you'll just have to use your DHCP-assigned IP address.

If you need .local DNS resolution to work reliably, Apple needs to fix this issue, so I suggest you submit feedback to them.

I blogged about the issue here.