Naming a four-kilogram animal Zeus is a joke that never stops being funny, and the registers are full of it. Strong here is a property of the consonants, not a claim about the cat — see the cat names hub for the rest.
What makes a cat name sound strong?
A hard consonant at the start, a closed ending and few soft vowels between them. It is computed from the spelling, so it is a description of the name rather than of the animal.
How many strong cat names are there?
599 in this catalogue, all of them from public shelter and licence records rather than invented for a list.
Every count on this site is a tally of real registrations: pet licences and shelter intakes published as open data by New York, Seattle, Austin, Montgomery County, Cambridge, Zurich, Basel and three Australian councils. Popularity here is the average share a name holds across those registers, so a name common in a small city is not buried by one common in a large one. Nine of the eleven sources are North American, so read the ordering as naming in those places rather than worldwide. Browse the whole catalogue or read how the data is put together.