Skills, Background, and Examples
The knowledge of the software itself is only going to be the foundation for the positions, but the principles of utilizing each one is going to be important both for proving your ability to engage the professional post production workflow and the ability to deliver samples when you are applying. This means that there needs to be some time spent working, both in education and in practice, on all areas of post production. This is often why film school will be a requirement at positions because it allows you extensive practice in all areas of production and post production. Learn the basic ideas around continuity editing, matching cuts, using the 180 degree rule, and all the different keys to effectively cutting together a scene and an entire project. Motion graphics and animation goes even further, and you will need to learn how to create correct images and really flow key frames together. Sound mixing requires an attention to detail, and educated ear, and the ability to run between different systems.
All of this can be demonstrated in your reel and set of examples that you will give to potential employers. The reel is fundamental for everyone trying to take active creative positions in the video industry, and if you want a job doing post production then you will need to put together a representative sample of your various post production work. This is going to be different than an editing reel because you are trying to find jobs that integrate the entire workflow, so pick samples of work that demonstrate a range of skills or put complimentary pieces from different post production positions.
It is good to also have complete projects that you have worked on, such as student films that you have run post production on. This is only going to match your educational background, and remember that a degree in film or a related field is almost required even for entry level jobs in this economic climate. Without the resources that film school tends to provide, especially in terms of production value, you will not be able to provide a professional level product without an incredible amount of capital to finance projects.