If you tend to have IPv6 at work and on mobile, you can out up multiple servers at home and reach them -- without having to use alternative ports or a port multiplexing scheme. (Provided the ISP CPE lets you actually get incoming SYNs; sometimes that's a lot harder than it should be)
The biggest practical advantages are hard to say because it is a chicken before the egg issue. Having a dedicated IP address for each device is very nice. Especially if you like hosting your own services or have a home lab.