You'll need:
A fermenter
A pot larger than the size of batch you're doing.
A hydrometer
A scale
Nylon straining bags if you want to biab or hop in them
If you're doing AG you'll want a barley crusher and a mash tun and It makes it easier if you have a second pot that you can heat sparge water in
Tubing to move wort from vessel to vessel
An auto syphon is handy if your vessels don't have valves
Sanitizer
For bottling a bottling bucket is nice but you could use your kettle or bottle directly from fermenter
Bottles and caps, of course
A bottling wand makes bottling a breeze
Or just get a kegging setup
This list is not comprehensive, and you can make beer with much less - you can make this as simple or as complicated as you want.
What bmorebrew said is great advice. There are also many YouTube vids that showcase all the equipment and various processes.