Can't scan the covers, but my best punk albums of the last 10 years (crossing over into ska-punk and alternative/garage bands):
Less Than Jake - Pezcore (but any album by them is great)
Operation Ivy - self-titled (I believe this collected all their EPs and singles)
Rancid - ...And Out Came The Wolves
Dropkick Murphys - Sing Loud, Sing Proud (punk with traditional Irish influences)
Goldfinger - self-titled (great poppy ska-punk, they went downhill after that)
Reel Big Fish - Turn the Radio Off (loads of fun)
Weezer - "Blue Album" and Pinkerton (call them alternative or whatever, but if Sum 41 is punk then Weezer can be too)
The Strokes - Is This It?
White Stripes - White Blood Cells