Greetings Zildjian,
I had a lot of experience on Apple ][s back in the day as well. Still love the Woz's craftsmanship.
To answer your question about the internal drive. It is IDE, not SCSI.
For your original question, depending on how much you want to spend:
1) A used Amiga 500 with an external floppy drive. This will allow you to play just about all of the original Amiga games (before the model 1200/600s came out). All amiga games should run fine on an NTSC amiga. You can use the A520 video adapter to output to a normal television. The video jack on the 500 only outputs monochrome video so it's pretty useless.
2) A brand new Amiga 1200 - There is a company in the UK (Amigakit.com) that sells new "old stock" and they can even fit your 1200 with a hard drive, accelerator, flicker fixer and a ton of other things. I'm actually having one built right now from them. I'm like a kid at Christmas! As other people have said, they are mostly compatible with older games. I won't know for certain until I start putting my own collection through the paces once my A1200 gets here.
-daniel