@Derp gave some great example aspirations.
I think the problem with aspirations is sometimes the way they are approved or disapproved in a mush.
A lot of times I think the words from the core book are forgotten and players/staff think some things are "too easy", but honestly as long as they're active goals, they should be fine.
From the book some sample short term aspirations are:
Find a new job.
Find out why my sister hasn’t called me back.
Get beat up by the school bully.
Go on a date with the new guy at work.
The problem I think people have in new games with their first PC is that if they don't have a chance to talk to other people or read about the current state of things, its hard to come up with specific game aspirations (Look into why ghosts behave strange around the house on Elm). You still could kick off with things you want to see happen: Meet up with local vamps in Elysium, Feed from a changeling, Create a supernatural safe space where single supers can hookup without being judged and/or murdered.
In a mush environment it shouldn't be a problem to put in aspirations for what you're planning to do in RP, or if there are dedicated Story Tellers they can see what types of things to include in a scene/event you are participating in. If I just met Player B and I want to romance them, a short term asp of "Kiss Ginger" shouldn't be seen as "bad". Its what is being aspired to.
I always try to remember these two blurps from the core CofD book when working with aspirations:
Aspiration - One of a player's goals for her character. An Aspiration can be something the character seeks out, or something the player wants to see happen to the character.
In addition to your concept, also consider your character’s Aspirations. These are goals that your character wants to accomplish, or stories and events that you, as the player, want to see happen during your character’s story. Thinking about your Aspirations early on, as part of your character concept, helps to make sure that your character is active, and that there are story hooks to get your character involved immediately. You can also use Aspirations as a way to connect player characters, by giving them similar goals.