Famous places to visit

Beaches/Island
-Pulau Ubin
-Sentosa

Eating places
-Clarke Quay
-Geylang
-Lau Pa Sat
-Makansutra
-"M" Meritus Mandarin
-Prima Tower Revolving Restaurant

Education
-Singapore Art Museum
-Singapore Discovery Center
-Singapore Science Center
-National Museums of Singapore

(Man-made) Nature
-Botanic Garden
-Bukit Timah Nature Reserve
-Chinese Garden
-East Coast
-Fort Canning Park
-Japanese Garden
-Jurong Bird Park
-Hortpark
-Night Safari
-Singapore Zoo
-Snowcity

Shopping places

-Bugis Junction
-Bugis Street
-Chinatown
-Mustafa Shopping Center
-Orchard Road
-VivoCity

Others
-Escape Theme Park
-Fountain of Wealth
-Henderson Waves
-Singapore Flyer
-Wild Wild Wet

Source: travel-in-singapore.blogspot.com