Mika is jealous that Yuuto only has eyes for Haruka, and tried on more than one occasion to make him notice her - but Mika hasn't tried stealing Yuuto from Haruka yet.
As for the maids, Yuuto's generally well liked by them. Hazuki's close to him (as shown when she told him her most personal story about one of her stuffed animals that no-one that's not very close to her would know - and Hazuki get teased because of this at times).
Nanami (the one with the hammer) likes Yuuto too, as in one of the novels they made a arc focusing on her:
As for Alice, well that bit with the frog at the maids and butler party pretty much says everything. Other maids wasn't show much in the LNs