For posterity (and to save you a click to SEQAnswers and parsing its rambling, old-style forum interface), the helpful bit for me was:

@xiangwulu:

Alignment score is a metric that tells you how similar the read is to the reference. AS increases with the number of matches and decreases with the number of mismatches and gaps (rewards and penalties for matches and mismatches depend on the scoring matrix you use). MAPQ is a metric that tells you how confident you can be that the read comes from the reported position.

You can have high AS and low MAPQ if the read aligns perfectly at multiple positions, and you can have low AS and high MAPQ if the read aligns with mismatches but still the reported position is still much more probable than any other.

As Devon says, you probably want to filter for MAPQ, but "good" alignment may refer to AS if what you care is similarity between read and reference.

I already replied to this on SEQanswers