thinkclassifies.com youradsview.com urclassifiedtoday.com I checked name cheap and all of them are available for .com. I think these name sound ok. Hope this helps.
I suggest you to use Google Adwords Keyword Researcher tool. In it enter classifieds and then select search and you'd get related keyword names and their search impressions (monthly) on Google, so you can make a good choice.
best 3 indian classifieds sites:http://classifiedadsfree.in http://classifiedadsonline.in http://whatnew365.com
its not necessary that you definately get your liked domain name.you need to check first that domain name is available or not.
Innovative? If you want innovative, you probably won't want to use Google's Keyword's tool to find a long-tail keyword. That's a typical and pretty effective IM method you won't want to use for a site that's gonna be innovative. Instead, try something that is memorable. Only you can know this. Go with something that's just one word or phrase, like Apple or MicroSoft. For some reason I like Specter. If you're in India, you'll have to go with something that works for that country.