Hi,
Seriously a chip like the 386 or 486 could probably be used for something else, but it's not an easy task to interface with the outside world because it needs so much to go along with it. It's like designing your own mother board. It can be done and i've actually done this with several chips, but they were somewhat less complicated, like the 8080 and the Zilog Z80.
Even those chips required a clock generator, static RAM, and a ROM where the ROM has to at the least be able to allow you to load code via another computer (often called boot loader code or something like that). And also to use it with anything you need to build an I/O port min probably the 74LS138 or equivalent, and a few logic gates like 74LS00 and 74LS02 or something like that.
The main task is to design a decoder to be able to automatically switch between ROM and RAM and I/O. That way your code can access either when needed. The boot loader code can be quite simple where you read a port and assume serial data, then send that data from another computer. That allows you to quickly test code using the RAM for the instruction code.
The 8080 board was about 6x8 inches, and the Z80 board was about 4x6 inches including all the support chips. The 8080 was built with single step capability but the Z80 was built without that feature.
What you can do if you want to research this a bit more is to download the data sheet for the chip you want to use, and study the pinout carefully to learn what each pin is used for. You then decide how to handle the signals that are expected from those pins. You also have to download the software manual for the intended chip, and study the instructions to find out how to design the boot loader code. You also have to be able to program a ROM (EEPROM, UVPROM, whatever) chip with the boot loader code so when you power up the 'computer' knows enough to look at one of the ports and wait for new code to come in, and load the RAM with that code.
So it takes a bit of doing to get up and running. I think you would be able to do this but it would take some time. A faster approach is to look at some of the micro controller chips out there and use one of those instead. They are interesting and have a lot of capabilities in one little package and are not that expensive. Takes a little time to learn how to code one but not too long.
Funny, my Z80 board was used as a controller, which now can be done with a micro controller.
Way back when i assisted in the design of computers that were made from discrete IC chips like TTL and static memory chips. So the CPU for the system took up one huge board just for that (maybe 10 x 12 inches). That's a real pain compared with what we have today.