Prime Iginla is the reason I started watching hockey. He was an amazing power forward with a cannon of a shot, and he could single-handedly win games when he was going at full tilt. Not overly flashy, but it was really a treat watching him skate down the wing and rip goals from the circles. He also had this great kind of Hulk-like quality, where he became unstoppable if someone sufficiently pissed him off. Also an underrated playmaker.
I'm a huge fan of many of the current Flames, Gaudreau with his extreme skill level, Monahan's understated offensive game, Backlund's borderline perfect defence and forechecking, but there's nothing I've found quite as awesome and entertaining as watching a juggernaut of a player like Iginla. Imagine a better (and infinitely more likeable) Jamie Benn and you're pretty close.
And yes, he'd have plenty of effect in today's NHL. Some of his best seasons were in today's NHL (assuming we're talking about anything after the '05 lockout).