Are any of Microsoft or Amazon's services better than their AWS equivalents?
This question is very broad and difficult to answer with specificity, because all three over a vast number of services.
AWS has 165 services as of November 2019, each with their strengths and weaknesses. Furthermore, although there is significant overlap between the three cloud providers, some services only exist in 1-2 of them making comparison difficult.
That said, below are a few points that I hope are fairly objective.
Remember that for any particular service there may be lots of pros/cons that override these broader points. So one cannot make a decision on this data alone.