One-point concentration leads to very well-described states called jhana (dhayana). In deeper states, there can arise an orgasmic bliss, probably better than anything you can take.

There's a verse from one of Mitten & Deva Premal's songs that describe some of this bliss well:

    I stood alone at the gateless gate
    too drunk on love to hesitate
    To the winds I cast my fate
    and the remnants of my fear.

Concentration is not mindfulness meditation, though.

For me, a bliss state feels similar to a runners high. As said its not the point of meditation but is enjoyable as a side effect.