Aspirational things are ambitious, like a goal you're aiming for. Your dreams of being a famous movie star are certainly aspirational, although maybe a little unrealistic.
The adjective aspirational can simply describe your objectives or goals in life: in other words, the things you aspire to do. However, the word often implies a desire to achieve social status. If you think of aspirational social media accounts, which give snapshots of impossibly glamorous or wealthy lifestyles, you get the idea. The Latin root of aspirational is aspirare, which means both "to reach for" and "to breathe."