What tools do I need to disassemble and re-assemble an 80's road bicycle
It depends to what level you want to disassemble. For general cleaning your list is a good start. As you dig deeper though you'll also need:

To service/adjust drivetrain


Various spanners and screwdrivers to adjust cables
Wire cutters if replacing cables


To service wheels/hubs


15mm spanner to remove wheels (unless you have quick release hubs)
Chain whip and a cassette tool to match your cassette to remove rear cassette
Cone spanners to remove and replace the hub cones
Spoke wrench (ensure you get a good one that fits your spoke nipples exactly, as it's very easy to damage the nipple)


To service cranks/pedals/bottom bracket


Pedal spanner to remove the pedals
Depending on the cranks you may need a crank puller
To remove the bottom bracket you may need a special spanner/tool


To service forks/stem/head tube


If it's a threaded fork, varying sized spanners to undo the nuts on top of the fork
If it's threadless, your hex spanners will be okay
Bearing cups - from the head tube there are specific tools to remove and then press them back on


As @Chef Flambe mentions it can be more economical to buy a kit containing many of these tools. This will give you a head start and you can buy the specific tools you need for your bike, as well as upgrade to better quality for the tools you use frequently.