I'm presuming you're buying, not renting, and leaving a property you bought, as if you were renting you (certainly used to) lose at least some of your deposit if you didn't leave it (looking) spotless.
Over the years I learned that places the checker-outers often pay extra special care to are the plugs in the bath and sink; and also the oven rack. Though I always used to give the whole place a hoover and clean thoroughly with bleach, washing up liquid/soap powder and hot water, Viakal, metal polish, and (these days) Pink Stuff, and give the counters and any laminate floors and bathroom fittings a thorough clean, though, also a quick spray of the windows, and then a really quick hoover right at the end.
And I've never, ever, left anything behind with the exception of one mirror that we couldn't fit into the bin. (I lived in a place at the time that didn't have a "large items" collection that I could sort out with the council and I was moving to another country. The landlord was aware.)
When I moved into places I usually gave them a similar sort of clean anyway though - some of them have needed it more than others.