Isaac Asimov has a collection of short stories that I’ve enjoyed and recommend.

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Isaac Asimov: The Complete Stories, Vol. 1

Ted Chiang is an author I'd recommend

• This list of Project Gutenberg content has a ton of older stuff from great authors
• Year’s Best Science Fiction is a great starting point to find good authors
• This SF Encyclopedia article has basically everything on anthologies so it’s a good place to branch out from

Libraries and book stores usually have anthology sections. Once you find an author you like, you can usually find more of their shorts. As a kid I always bought a ton at used book stores. With more modern stuff (00s and forward) you can usually find a lot of it online once you know the authors you like. The collection you read has a nice range of styles so you’ve got lots to experiment with it!

Gotchu covered, fam

• Analog: Science Fiction and Fact
  A paid print and digital magazine I used to subscribe to. I'm only not currently subscribed because I had fallen literal years behind and couldn't keep up. Includes not only fiction but science and futurism essays.

• Clarkesworld
  A paid digital and print magazine, and free podcast. I would listen to this podcast more but they offer no description and I can't commit to an hour or story time just based on a title.

• Asimov’s Science Fiction
  A paid digital and print magazine. Tends to have bigger names than Analog and Clarkesworld.

My favorite is always Analog in print form.

I see a lot of classic Clarke and Asimov posted here already, so here's a couple from my favorite sci-fi writer of that era - Ray Bradbury:

• The Martian Chronicles

• The Illustrated Man - my personal favorite.