I always loved superheroes and such (what kid didn't?), but officially got back into comics thanks to the Death of Superman, back when it actually happened in 1992. I asked for that issue for Christmas, but my parents couldn't find it, so got me the Death of Superman trade, instead.
From there, I picked up the Funeral for a Friend trade and started collecting the monthly issues for the Reign of the Supermen. I collected the Superman comics for awhile after that, as well, and started branching out into other spin-off books like Steel (probably my second favourite superhero) and Superboy. Also bought some Batman books, such as following the whole Knightfall, KnightsQuest and KnightsEnd stuff.
Marvel: About the same time, a friend of mine told me about Venom in the Spider-Man comics. I started with the issue of Amazing Spider-Man where Venom and Spidey make a deal to leave each other alone...which spun off into Venom's limited series. I started buying everything I could on the symbiote-related stuff, which included Maximum Carnage. Started buying Spidey for a bit after that, too. Also, not too long after this (I think), X-Men did their Age of Apocalypse story, which was my first and favourite X-Men story. I collected a couple of X-issues afterwards, but really loved X-Man.
My first big event, which I bought up just about as much as I could, was Zero Hour and I loved it. I started loving the annual events DC would do every summer, like Underworld Unleashed and Final Night. I started branching out into other stuff from there, like Manhunter (which didn't last very long).
So, it basically went like that for a few years, trying different Marvel and DC series, following Superman quite a lot, but also really digging Chuck Dixon's run on Nightwing and, as I said, mostly superhero titles. Tried some Image stuff, really dug the first volume of Savage Dragon, but went through three copies of the second volume, that kept literally falling apart on me. Used to own some Spawn and kinda dug it.
I think it was Preacher that was my first real mature title or at least non-superhero title. Then, I started branching out into other stuff, a lot of which was introduced by a friend of mine who was a bigger geek than I was. He had an entire room full of comics, graphic novels, statues, figures, etc. Thanks to him, I tried out all sorts of new stuff, like Hellboy, Astro City, Starman, JSA, etc, and really growing to have an appreciation for the history of comics, in general. It was around this time that I read Watchmen for the first time (this was about 1999 or so, I think).
Then, thanks to reading his work on Batman: No Man's Land, I was introduced to the work of Greg Rucka. This led me to reading his Atticus Kodiak novels, which then led to reading Whiteout and his independent series, Queen & Country. I kept reading about all these great independent or non-superhero titles and couldn't get enough. 100 Bullets, Fables, Y: The Last Man, Maus, etc. I started picking up all sorts of different stuff, while still kind of keeping up on superhero stuff here and there.
Just this last year, I took a course called Comics & Cartoons and learned about the history of comics from the early 1900s right up to about the 50s. I grew to have a great appreciation for Jack Kirby around this time, as well, thanks to DC putting out big omnibus volumes of his work. There's a second half of C&C that I didn't take for various reasons, but it really opened my eyes to how cyclical comics are and how unoriginal so much of the crap is these days.
These days? I don't know, I can't seem to care much about the majority of either DC or Marvel's mainstream output. Even though it was the shock deaths and events of the 90s like Superman's death and Zero Hour that pulled me in, I can't stand it today. Now, you've got characters that have been dead a good 20+ years like Barry Allen coming back, which I think is ridiculous. Nothing moves forward in comics and in fact, it's moving BACK. The multiverse is back, a lot of Silver Age characters characters that were removed to simplify the characters are now back and it's just not fun for me, anymore. I don't care about who's dead, what new costume Character X is wearing or who came back.
It's not to say that there aren't some good runs or iterations of the mythology. All Star Superman is absolutely fantastic, as was New Frontier, Iron Fist and especially Captain America. Greg Rucka's run on Wonder Woman was amazing. Most of what Geoff Johns writes is good, though after his runs, it pales in comparison (I fear for the creative team that has to take over after his run on Green Lantern).
But honestly, my love for comics these days has been the creator-owned properties that have just one writer or one creative team. Invincible, Walking Dead, DMZ, Northlanders, The Unwritten, etc. I cannot WAIT to read the first trade of Chew, which I hear is amazing. Thanks to my parents near two decades ago now, I buy pretty much trades only, because I like to get a volume with a complete, self-contained story within it. I really feel that the floppy monthlies is going the way of the dodo and more companies should produce full, self-contained graphic novels with a complete story.
I still love superhero stuff, but it feels like a lot of these characters aren't really acting...heroic anymore. I can't really put my finger on how to explain it, but Marvel especially, it seems is overrun with dark and bad guys, you know? DC is too busy killing off and bringing back characters to tell many decent stories.