EAT:

LANTANA – australian, but mostly hummus, toast, cauliflower etc
SMOKING GOAT – asian fusion, so good, and so spicy
SHORYU RAMEN – can I say more? loved it
MONDARIAN HOTEL – lobby drinks, olives, charcuterie (where we stayed)
MANTECA – italian, and omg it was just amazing!!

other than that I would love to visit the natural history museum if I was you, and go down brick lane and get your vintage!