  Magnetic response is a fundamental property of superconducting materials,
which helps to distinguish two superconductivity types: the ideally diamagnetic
type I and type II, which can develop the mixed state with Abrikosov vortices.
We demonstrate that multi-band superconductors with one shallow band, that have
recently attracted much attention for their high critical temperatures and
unusual properties, often stay apart of this simple classification. In a wide
range of microscopic parameters such systems fall into the inter-type or
transitional interval in between the standard types and display unconventional
mixed state configurations.
