One of the best ways to stand out from the crowd without wearing a ridiculous peacocking item (such as a bright pink top hat with flowers on or something), is to dress in a certain way but have an item which is a little bit more or less formal than the rest of the outfit.
So a suit with a pair of nice fresh sneakers gets attention - as long as they aren't really battered and old, this can be a good look which gets attention without being too ridiculous. Similarly, if you're wearing a simple pair of jeans with a tee and chuck on a blazer and/or a pair of nice smart dress shoes, it looks good, gets attention but isn't ridiculous peacocking.
Something like a beanie hat can make a slightly more formal outfit stand out and get you attention.
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Of course this is all dependent on where you're going. If you're going to a red carpet film premiere, don't wear sneakers with your tuxedo. But if you're just out and about on the street, a pair of sneakers with suit trousers, shirt and blazer is more than doable.