Date Night

I know it's cheesy, but setting aside a fixed night as couple & romance time for just the two of you is bound to bring you closer, and make her feel safe in your commitment to the relationship and her.
Ideas of things to do
Dinner & Drinks
DVD & Snack night (let HER pick the movie and endure the american romantic rom-com's if you plan on getting some afterwards!)
Picnic
Sailing
Long walk followed by meal of choice (great between breakfast and lunch as outing. We will enjoy our meal more since the walking has "earned" us carte blanc on the menu)
Tickets to a show/concert
Bath, Massage & Sex night