Ah, I’ve just been through this, having suffered my second (and last) sudden Time Capsule death.
I’m not a techy but I spent a day or two on Google etc sorting out what I needed, and I ended up with a Synology Diskstation DS212j. It’s an empty box (+software) that you have to put hard drives in, so I also bought a couple of HDDs to go in there. Can’t remember what they were now.
The outcome of all this is a 4,000 GB file/music/media storage thing that I can access over the network at home, and over the internet while I’m away, on my laptop, iPhone or iPad. So it’s like my own little cloud (except it’s quite big, and with no monthly fee).
It also dishes up my music at home and my films and photos if I wanted it to.
I didn’t know this when I ordered it, but apparently it gets good reviews in What HiFi and other places.
For someone who normally doesn’t touch anything that hasn’t been touched by the hand of Jobs, this was quite a milestone for me, and it has opened my eyes somewhat to the fun that can be had when you go off the Apple piste.