I don't think I can call myself a fan of the scene in general, but there's stuff I really like in it...
...and, well, since you mentioned Paramore and Jimmy Eat World, I am a big fan of both bands.
Paramore's first album (All We Know Is Falling), I like well enough, but it's Riot! that truly starts their run for me. I mean, maybe that's for a younger target, I don't know, but I still enjoy it greatly when I go back to it. Brand Bew Eyes is almost as good (with Hayley Williams getting better and better). The self-titled is quite the sprawling album. Lots of songs and variety. A bit of turmoil in the band leading up to its release, with band members leaving and whatnot. While not every single thing in it hits the bullseye, overall I sometimes think it's my favorite of theirs. Incidentally, the combo of Let the Flames Begin (on Riot!) and it sequel Part II (on the s/t) is fantastic. Great, great drumming on the latter (not the usual drummer, who's also very good, btw...Ilan Rubin played drums on the s/t, currently with Nine Inch Nails live, I believe). After Laughter and their latest (which you have heard, I think) are great too. As far as mainstream bands go, they are surprisingly willing to change things up with their releases. Great stuff.
As for Jimmy Eat World - I know Static Prevails and (especially) Clarity are very highly regarded by the "hardcore" fans, and they perhaps fit this thread's genre the best. I think they are ok, but I don't go back to them often. Bleed American and Futures is where it's at for me. They are both fantastic (I might have heard The Middle a billion times, but it's great
every time

), but Futures is my favorite. So, so good. There is a whole layer of melancholy that they do incredibly well. The follow-up Chase the Light is very good too, perhaps a little brighter. Invented and Damage are both good, but they didn't stick with me as much. However, their last two records (Integrity Blues and Surviving) are a return to form, imo (if we want to call it that way

). The song Delivery, from Surviving, is top Jimmy Eat World - the vocal delivery is perfect.
Looking at the bands Luke posted...I really like Sing the Sorrow by AFI. Great example of, um, gothic pop punk? (Here too, I know fans prefers the earlier stuff, but I like that this one is a little more polished).
Another album I enjoy is the second from Angels & Airwaves (I-Empire) - Tom DeLonge's band after Blink 182. They got a little ahead of themselves after this, but I-Empire is quite tasty. I remember liking the single Everything's Magic a lot when I caught the video, back in the day. The record has a lot of those epic, delayed guitars and it's quite good overall.