That first issue had a Fred Pohl story on the cover, I recall, "The High Test." I read the magazine greedily, then called the phone number inside to subscribe. The woman on the other side of the line wanted me to give a credit card number. It took some doing, but I convinced her to enter my subscription without one, and to bill me later. I'm not sure why I didn't just mail in a subscription card. I think I was just too excited to get my subscription started.
Before long, I had my first rejection in handa photocopied sheet of possible reasons my story was not of use to Asimov's, with editor Shawna McCarthy's second-generation signature at the bottom. Crushed but undeterred, I sent in another story. Same outcome.
Every time the new issue arrived, I would read it cover to cover. Those pages are where I first read Lucius Shepard, Bruce Sterling, James Patrick Kelly, Kim Stanley Robinson, John Kessel, Michael Swanwick, Nancy Kress, Connie Willis, Michael Bishop, Norman Spinrad, Dan Simmons, and a host of other exemplary short fiction writers I'm forgetting now. I still have many of those issues, the ones with the stories that affected me most. "Speech Sounds" by Octavia Butler is one of the first that comes to mind. More even than the novels I had long read, those stories were my first real education in the art and craft of writing science fiction.