I started a new game on SS recently and have named everything but the names are not amazing.... so far my party is Crush the Feraligatr, Iggy the Magmortar, Marlow the Alakazam, Chilli the Lanturn, Mella the Pupitar and Pero the Pidgeot. There is usually some sort of meaning behind each name but these ones have slightly less meaning than usual.
I like the names I give my shinies though:
Amelita the Lilligant (a type of lily the same colour as on a shiny lilligant)
Aureo and Varie the Vulpixes (from Aureovariegatus, the latin for a plant called 'Golden Foxtail Grass')
Muirne the Rapidash (named after a horse I used to ride)
Amber the Luxray (because of the shiny colour and also because there was some link to a possibly foreign word, something to do with electricity....I've honestly forgotten though lol)
Neart the Bastiodon (Irish for 'strength')