They still make references to the classic card at www.cardmemberservices.com, but I don't see an application. If you click on "Pricing" they list both $59 for Signature and $39 for Classic. And the fine print at the bottom of the Signature application site says:
"In certain circumstances, you may receive a Classic card with a credit line up to $5,000 instead of a Signature card. The Classic card benefits and rewards are different from the Signature card benefits and rewards."
I obtained one for myself two months ago and one for my mother in mid-July. You have to call the 800 number and be very specific about what you want. Tell them that you want the personal classic card for $39. They may tell you that it's not available, but press on. I had to call back a second time to obtain a different rep. when I wanted to obtain one for my mother. Make sure that you confirm the annual fee and 4 bonus credits. I don't trust anyone anymore.
Programs: WN CP & A-list preferred, Interstate BBQ at MEM B17, fan of Hyatt, Priceline, and Hotwire
Thanks. Phoning in the application seems to have worked for me. They called it a Standard (rather than Classic) card, but the terms are correct. The only painful part is listening to the terms and conditions for almost 10 full minutes! That's where applying on the Internet really pays off.