"Not super sporty by nature" can mean a lot of things, but my guess is the obvious choices of running/biking/climbing, etc. wouldn't hold much appeal.
My suggestion would be Olympic lifting with a coach who will teach you proper form. No matter how "sporty" you are, you can lift something. Where power-lifting tends to be all about building muscle mass, Olympic lifting has a technical aspect that stops it from being boring (at least, in my experience). You don't tend to do repetitive sets so much as you focus on one perfect lift at a time. The best part is, you don't already need to be fit to get started - but you do need proper instruction or you will risk hurting your back.
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