I would like to know what the modern equivalent of this is too. Obviously blogs are there. But it is not for me but my kid. Something that can pique his interest.
Magazines are able to deliver something that blogs often can't - like pieces of work that have been refined, and then refined again by an editor. Or diverse topics that still fall within a certain discipline.
This is an itch that blogs can't seem to scratch for me.
http://pico8fanzine.bigcartel.com
Its tailored for PICO8, which is a 'fantasy console' in the same light as 80's 8-bit machines, but still .. its one of those 'zines that really takes you back once you get through an issue or two ..