Singapore’s spike wasn’t that big. The graph looked extreme, but the numbers topped out around the same level that Washington state was at in September. They spiked after they started relaxing restrictions, when they reached 80% vaccinated.
I think last time you tossed them up as an example, I countered with the city of Chicago - Singapore is slightly larger than the city of Chicago, with more than twice the population. Chicago has about 5x as many cumulative cases, and about 75x as many deaths.
Israel had a spike, but is now also below our state numbers. Also, they’ve had not quite twice as many cases as Washington, but fewer deaths. Their vax rate appears to be in the high 60s. I haven’t tracked them very closely, not sure what their spike is being attributed to.