A Jupiter-crosser is a minor planet whose orbit crosses that of Jupiter. Jupiter trojans can be inner grazers (105), outer grazers (52), co-orbitals (183), and crossers (537). Discounting them, there is one numbered, 7 non-numbered, and 19 cometary outer-grazers. For the Jupiter trojans, see List of Jupiter trojans (Greek camp) and List of Jupiter trojans (Trojan camp).
The following is a list of named asteroids that are not Jupiter trojans with a<4.950429, 4.950429<Q<5.458104.
Similar to inner grazers, these orbit with a semi-major axis greater than Jupiter, but still have a perihelion distance within Jupiter's perihelion and aphelion, a>5.458104 and 4.950429<q<5.458104.
These are asteroids that cross the orbit of Jupiter in any sort of way, defined simply as having a perihelion less than that of Jupiter's perihelion, and an aphelion greater than Jupiter's aphelion.
The numbered Jupiter-crossers are (incomplete):
Note: † denotes inner-grazer (aphelia outside Jupiter's perihelion and within its aphelion) (from )