The Tiki-100 is an obscure Norwegian 8-bit computer from 1984, also Z80-based. It had nice graphics for its time, with 16 colours from a 256-colour palette. However, it was very hard to use productively, since the machine had no video sync interrupts.
What the guys in the demogroups figured out, was that it did have parallel port interrupts, and with a tiny hardware mod (just a wire from the expansion port to the parallel port), they could "steal" those for Commodore 64-style raster interrupts.
That it wasn't something usual with microcomputers of the time wasn't because it would have required some uniquely clever design. Rather it had to do with them being single-user/single-task, with simple operating systems where programs were expected to have full access to the machine.
A common use for multitasking in the 8-bitter era was print spooling; it was very inconvenient to have to wait for your document to finish printing before you could continue editing! People frequently bought external hardware printer spooler boxes to connect between their computer and printer because of this. Similarly, duplicating floppies was pretty inconvenient because you couldn't do anything else while it was happening, even if you had four floppy drives like I did, with literal megabytes of storage space available to read porn or play video games while the floppies were copying.