Depending on the amount of time you have to invest and the number of files you want to transfer, Amiga Explorer is a good solution but 19200 bauds ain't as fast as it looked back in the days. An ADF (roughly 900k) transfers in about 3-4 minutes so by the time you're done transfering Monkey Island 2's 13 disks, you are asleep, face on the keyboard.
What Amiga model do you have? If you have a 1200/600, you can get a 40-to-44 pin IDE converter and hook an IDE something-or-other (cd rom, zip) directly. PCMCIA flash readers also work good.
