You can go a bit ambiguous and even out of the material world. For example, you can say that your long term career aspirations are to create a path that other people in the profession and line of work may follow. You may even speak about what are your career ambitions, like obtaining the highest post in a company in a while, etc.
Recruiters or managers look for your ability to manage your own goals and also want to gain some insight on your short-term/long-term goals. When answering this question keep in mind that the long-term goals you talk about are not the personal goals but those career goals which relates to or somewhat identifying closely to the offered position/division's objectives or perhaps the overall vision of the company.
While answering this question also keep in mind that you would/could be asked for the short term projections as well. Your short-term and long-term goals must be on similar lines and not totally divergent else cross-grilling and consecutively dishonest statements could result from your side.
It's hard to know exactly what someone's goals actually tell the interviewer. Goals are always changing. Most employers ask in order to see if you are going to commit to the company and judge whether or not you have ambition.
Short term career objectives are quite simple, like getting a higher post in a few years or months, or learning a new skill so that you can become more productive for the company or even earning a certain amount per month by a particular time. These are the answers that you can provide when you are asked what your short term career aspirations are. In some cases, you can also speak about any dream company that you would like to work with as your short term career aspirations.
Employers always want to hire people who take a serious thought on their career growth and professional development as it would benefit them as well - People with clear vision are most likely to become the company's talents or the next leaders.
When you are asked about what are your long term career goals, consider it as a chance to speak about how you are stable in your professional and personal life, and how you would like to grow with the company that you are working for.
Therefore, you should preset clear purpose, determination and commitment to own career goals by demonstrating how you plan ahead.
I see myself developing my skills through your training and development programs. I hope the company policies support internal training and reimbursement of work related courses offered by university extensions etc.
I see myself in a management role, leading my team to new innovations and growth. I have a desire to develop my skills as a manager, I'm sure I will eventually get there.
My long-term goals are toward making a positive impact in the company though my expertise and ethics. I also look forward to develop myself in leadership areas through experience and training offered by the company.