Of course. “Any spell of 3rd level or lower on the Target ends.”
Eyebite would require an upcast Dispel Magic.
Dispel Magic, historically, throughout multiple editions, has been capable of ending all the spells that meet Dispel Magic’s criteria when targeted against a creature.
In the case of Shadow Blade, the spell ends, if Dispel Magic targets the sword of solidified gloom. Shadow Blade also ends if Dispel Magic targets the caster.