To shutdown the Amiga, you turned it off. There was no delay, no Start->Shutdown...wait possibly forever...
The Amiga didn't commit changes to disc synchronously, but it provided no sure-fire way to flush all pending write buffers.
Sliding screens. Why not give each application its own full screen and allow the user to pull down the top menu to slide between these screens.
That was a workaround for low resolution displays with small colour palettes. With 1920x1200, 24bpp displays being common place these days, it's easier to just have applications in windows. Remember that nearly 15 Amiga "hi-res" (640x256 for PAL) screens will fit in on a single desktop these days. And we have virtual desktops and multihead, if you need more than that.
Simple speech device. What could be easier than "LIST > speak:" to say a directory listing?
speechd claims to provide equivalent functionality
Bidirectional linked list filesystem. If you lose a sector or sector link, most of the file could be rebuilt by following links from both ends towards the bad sector. (Disk doctor)
On the other hand, we have RAID1(0), RAID scrubbing and SMART these days. If used correctly, you're less likely to lose a bad sector in the first place. Furthermore, Amiga floppy handling was particularly unsafe; writing a sector caused the whole track to be rewritten, without verification (unless you used TrackSalve to patch trackdisk.device, If you insist, you can always use the affs (Amiga FFS) filesystem under Linux. Thought I'm not a filesystem expert, I suspect that it's been superceded by more modern filesystems.
The keyboard garage. The 1985 Amiga 1000 keyboard tucked neatly under the computer where it didn't take up desk space, was hidden from children's fingers and was spill-proof.
USB rollable waterproof keyboards made out of rubber?
Tight integration of hardware with O.S. O.k. this works against everything we've been taught about abstracting everything but since the PC world has boiled down to little more than an O.S. monopoly, a hardware monopoly and a graphics card monopoly, why not eliminate some of the levels of abstraction that will never be used and make my 2Ghz PC perform every day tasks at least as well as my 7Mhz Amiga did?
And cement those monopolies further and make it hard to expand in the future (cf. the trouble Amigans had to go to to introduce support for 'chunky' graphics devices and 24bpp displays)? No thanks.