I keep at least one new nut & washer for both ends of the CVT, crush washers for the oil, one of those 4 pc kits for the oil strainer (if your scoot has one - the screen, big threaded cap and its 0 ring, and spring - about $7 eBay for the lot - the soft cap/nut shreds if you put them on too tight I hear), head, tail and brake light bulbs, fuses, extra key, air filter,
And if you will be putting a lot of miles on your scooter - a set of rollers (KYMCO) or sliders (Dr P). I added a complete (KYMCO) clutch and bell for my LIKE200i because the price was good and my scoot has been in the Kymco line-up for a number of years, brake pads - but these seem to last a very long time on the LIKE and may never get to use them.
I have a box of other spares that I collected when I was going thru my lame "Pasta on the kitchen wall, and see if it sticks" process to fix a TPS issue that the dealer was ignoring. (coil & lead, injector, fuel pump, vacuum lines, etc.) And two working stock YUASA batteries (long story)
Better to use your head - while everything is still working. Not much goes wrong with these KYMCO's, but there are consumable parts - like any vehicle. And some parts we might screw up....CVT nuts, oil screen assemblies, keys.
Stig