Normally I'll just call them... Ancient cameras. Lol. I really don't know of another name :P
In most cases I won't suggest zooming at all, because most cameras nowadays use a hybrid of digital and optical zoom. Once you go over the optical zoom range of the camera, it loses its ability to focus. And non-professional cameras also don't have terribly amazing zoom lens so the end result varies a lot.
If you can dig into the settings of the camera, try lowering the ISO and set a higher aperture instead if you need the brightness. High ISO values tend to cause grainy side effects from my experience. The downside is that you need the camera to be more stable because this will cause images to be more noticeably blurry if a shake happens during the shot. I don't quite remember about the technicalities but I think somewhere online will have it explained lol. Anyway just my two cents :3
In today's world, anything older than about 5 years is ancient lol.
Thank you for the advice about ISO settings. I will try playing around with it. A tripod probably wouldn't be a bad idea either, but I don't have much spare change laying around at the moment, so it will have to wait :P
Thank you for the advice my friend, very much appreciated :)