I'm in the EA camp. My guess is that the first game offered will be (thanks wikipedia):
The Ultima Collection is a CD-ROM collection of the first eight Ultima computer games (MS-DOS versions only), including their respective expansion packs. It was released in February 17, 1998 for Windows 95/98 and DOS. The disk will not work as such on Windows 2000 or newer; a DOS Emulator such as DOSBox and some manual work is required to get all the games working on modern versions of Windows. The included version of Ultima II is incomplete; see its own article for details.
Along with Ultima's I-VIII this collection also included:
The PC port of Akalabeth.
A sneak preview of Ultima IX with an interview with Richard Garriott.
A complete atlas of the maps used in each game.
The original documentation converted into Windows help file format.
Sounds like the perfect starter for EA on GOG to me, though I've never played any of the series I know they're regarded as classics.