Queenstown Bowl is no more (you can still see it intact on Google Maps street view, image taken on March 2009).
I can fondly remember a good Chinese restaurant at or near the Queenstown Cinema. When I was a kid (early 1990s), I went there with my parents to attend a wedding dinner. It had a BIG stage with a large projection screen that played karaoke songs. Guests could go up and sing in front of everyone. Many adults and kids sang Sally Yeh's 瀟灑走一回 as it was a very popular song then.
As of now, I have attended many wedding dinners, from the obscure restaurants at Boon Lay, Chinatown, Queenstown, Concourse etc to the more posh ones (Fullerton, Mariott, Copthorne, Sheraton, Mandarin). Only that particular restaurant at Queenstown still brings back fond memories after so many years. No other restaurant had guests singing karaoke as entertainment. Sometimes there would be a live band, or a hired celeb emcee, but that's it.
The only bowling alley nearest to Queenstown and outside of the city area is probably the one at West Coast Recreation Centre.