Unique? Have a Singapore Sling at the Raffles Long Bar.

Personally, I don't like them (they were concocted to suit the tastes of ex-pat British women of about a century ago) and the location is touristy, so I'd never suggest doing it more than once, but it's definitely "unique."

More seriously, the unique Singapore food experience is the hawker centres (or centers, to Yanks). Your hotel will be able to point you at a nearby good one. Eat whatever looks good. Most vendors speak enough English to explain what something is even if it's not their first language.

Singapore also has lots of good higher-end restaurants. Its cuisine is based largely on Malaysian food, but reflecting the diversity of its heritage, it has overlays of Chinese, Indian and more. It is nearly impossible to eat badly in Singapore unless your credit card is maxed out.

Finally, major hotels have some of the finest breakfast buffets I've seen anywhere. Perhaps not as over-the-top as at some high-end resorts in Hawai'i, but with more varied offerings reflecting the different cuisines of the region.