A minimal kernel for me will not be a minimal kernel for you. There are dozens of wireless drivers, network drivers, hard disk drivers, graphic drivers, interface drivers, protocol drivers... Enabling them all will not be minimal.

Tick off the options that apply to your system in make menuconfig. View the help options (? key) for anything you don't immediately understand. Lots of things you need will be ticked off already; a lot of what you do will be removing what you don't. If it doesn't work, google the error and find out why. Never build disk drivers as modules, since you can't load your disk driver from disk. Your SATA probably uses the AHCI driver but don't take my word for it. I hate to suggest trial and error but your first time building a kernel will have to be spent getting used to the idea of checking what you need.