This was my fave album for quite some time.
If you like this, you should pick up Eat to the Beat (many diehard Blondie fans' fave of their catalogue), its closest cousin musically, ASAP. The first 2 Blondies discs, Blondie and Plastic Letters, have got more of a CBGB-punk influence. They're both excellent, though not as pop-hooky and polished as Parallel Lines. Autoamerican gets a critical lashing as the beginning of the weak point of their dynasty, though I find it to be very, very underrated and worth the time. The less said about The Hunter, the better. Don't care for their two latter-day albums (No Exit, The Curse of Blondie). It's just not the same band to me.
I'd also recommend picking up Debbie Harry's first 2 solo albums, Koo Koo and Rockbird. I think you'll especially love Rockbird--it's a straight-ahead return to the pop craft that made Harry famous when she was apart of Blondie, and it's quite addictive and likeable. I also own her 3rd solo disc, Def, Dumb, and Blonde, but haven't really listened to it all that much to give a recommendation.