I'm not sure about the whole 'no jumping-on point' thing - Marvel have extensive Story So Far recaps in all their books on page 1, and have for several years now - I assume because most of their output is written for the growing trade reprint market rather than individual issues. Worth checking out are Captain America, The Initiative, She-Hulk, Runaways (if and when they ever decide to put an issue out), and Ennis' Punisher - although Ennis leaves the title in a couple of months and there's no-one working for Marvel who can come close, so god knows what the book will be like then. There's always Matt Fraction's Punisher: War Journal, but it's a bit naff, as it tries to be the Marvel Knights series that Ennis did years ago, but without the same ear for dialogue or irony (which I freely admit amounts to several variations of "Oh no, I - who have killed with bullets - have been killed *by* bullets!").
It's been mentioned above, but I'm not as furious as a great many are about Spidey's 'Brand New Day' thing - though you'd have to be a certified mental patient to be as angry as some of the fans are - but it does come across as immensely dickless storytelling to just push the reset button when the franchise is written into a corner by a writing pool clearly out of ideas, but unwilling to step aside for younger hands who'd chew off a nut to get the opportunity to work on Marvel's flagship character. The post-reset books have been okay so far, but not a patch on Ultimate Spidey, or the self-contained Spider-Man Adventures - which kind of backs up my belief that the main spidey writers and editors - rather than the characters - have run out of steam.