When talking in Jungs terminology and theory, animas stands opposite to archetype of persona. Persona is the way in which we act out towards others and reply to demands of the external world, in behavioristic models(which jungian model is not) it could be called the "extraverted self". Anima naturally stands opposite to this because its the archetype of the feminine self that has been repressed and which is loaded with libido due to repression from the masculine self that needs to be maintained in order for self preservation in our society. Women with their animus is basically other way around as they are required to act feminine instead of masculine and repress aspects of the self that are associated to masculinity in society. Now there ofc are women who act out more "masculine" due to it being more acceptable in todays society, but they often have less masculine and more feminine animus instead. You can see this also in lesbian couples quite often where one has the male role and one is more feminine. The animas inspiring aspect can be most archetypally be seen in muse http://en.wikipedia.org/wiki/Muse
Personal shadow on the other hand stands opposite to ego. In the theory of analytical psychology ego has five functions;
1) it maintains the stability of personality
2) stability of identity
3) cognition, it helps us to process information, to problem solve and to store memories
4) it helps us with our executive functioning, like brushing our teeth etc in order to meet the everyday demands of the world
5) it tells us what to expect from the world
Personal shadow is the things that ego has repressed about the self, but have the capacity to be.
For example if my ego is most comfortable(because most skilled function, so i identify with it) with me using thinking and am not comfortable or skilled at all using feeling, then what my feeling function tells is often not what my ego wants to hear, so i repress that F shit and focus on thinking. Now if i have differentiated and thus made some of this F shit relevant for what my ego wants my ego can process it consciously and make a conscious decision when to rely on thinking and when to rely on feeling. But feeling that is undeveloped, but still has a lot of libido trying to get out is where complexes and archetypal themes manifest in negative ways as my feeling function undifferentiated from the complexes and archetypes and thus make the most unconscious associations there.