Come to Me by Amy Bloom is worth a read and there are quite a few of her shorts online and in various publications.
The Best American Short Stories (edited by Heidi Pitlor) is a favourite anthology of mine. Perfect for dipping in and out of as is The O’Henry Prize Stories (annual)with Laura Furman as series editor. The stories are selected by a jury of three people leading to quite an eclectic mix.
Finally, The Vintage Edition of Contemporary American Short Stories, edited by Tobias Wolff is brilliant.