Card Draw:
Serum Visions and
Sleight of Hand are good options. Ancestral
Visions is good if you don't have a budget restriction;
Anticipate doesn't seem horrible but it is a bit pricey for card draw. Note that
Anticipate and
Sleight of Hand and similar effects don't trigger Erasure/Tutelage. I don't really like
Think Twice and the other options aren't good enough to be Modern viable.
Mill:
Hedron Crab is good,
Tome Scour is all right. Mono-U mill is tricky without
Glimpse the Unthinkable and
Mind Funeral, though Tutelage does decent work. May I recommend
Mesmeric Orb?
Jace's Sanctum is slow.
Jace, Memory Adept seems all right as a 2-of; don't play any of the other Jaces.
Spell Snare is a great
counterspell; so are
Mana Leak and
Cryptic Command and possibly
Remand depending on the meta you expect.