1) the weather widget doesn't show precipitation chances in the future, only for today
2) historical queries like "newspaper articles on interest rates from 1/1/2008" are subpar compared to Google. Probably related to the recency of their index.
3) hyperlocal queries that rely on contextual information like location need to have that info explicitly stated, otherwise "best restaurants" returns a list of restaurants in Poland for example. Sort of inherent to the privacy thing though.
Everything else, all the normal queries work as well or better for me than Google.