HC is alive and well. 5V isn't much used for logic anymore (if your functions aren't sucked up into an MCU or FPGA, you're wasting a ton of board space and probably parts cost*), but is great for glue logic, line drivers and receivers, etc. Anything faster or newer (like LVC) is great for similar things at lower voltages (though, LVC is technically rated for
5V!) and higher speeds.
*The threshold feels like somewhere around 0 to 4 logic chips. Even if you're not using a bargain basement MCU, it gets very economical to use one to replace more than a few logic chips. Even more so when you're talking about replacing more logic chips with a small FPGA.
LS is still around, but I certainly wouldn't use it for new designs. CMOS is better in all respects, and HCT parts are available if you need the input threshold.
CD4000 is still around, and has no alternatives for high voltage logic -- unless you want to cook your own from transistors! It's unfortunate that it's so slow and gutless, but when you don't need fast logic and you're just gluing some things together in an analog circuit that doesn't even have a 5V supply: it's absolutely perfect.
As for packages, everything is available in DIP and SOIC. (Heck, there might be fewer in DIP than SOIC, I'm not sure. DIP is slowly going away, and you should be prepared for SMT!) Some is also TSSOP, unfortunately the less common ones usually aren't. CD4000 I think doesn't usually come in TSSOP. Receivers like 74HC7014 aren't available in TSSOP.
Tim