An Aries likes the chase. Aries enjoys the pursuit. Aries in ancient astrology was the hunter. So basically, there's a kind of fine line between paying a lot of attention to the Aries so that they Aries gets interested in you, but at the same time you have to play a little hard to get. Because if you immediately fall for Aries charms, and there are many Aries charms, the Aries will lose interest and move on.
So in many ways, it's the concept that it is an encounter, and there is something now to be won. Aries wants to win you. So you as the one being pursued should be a little coy. That may be a feminine word, but both male and female, not too easily gotten.
Aries is also very interested in exploring new topics, loves to try new things. So a way to attract an Aries really is to be open to trying something new. Oh yes, let's go dancing on the boardwalk. Let's go try para-sailing. Let's go try something that we've never done before, some new food, a new restaurant. To be open to the new, to be a follower in a certain way, because Aries is the leader, and not to be too eager to fall into bed with the Aries is the way to attract an Aries.