Suggestions for Best Complete System -$1,000 or less???

Some good suggestions so far...

I would suggest a Bluesound Powernode 2i and a pair of Elac B5.2 speakers as a simple one-box $1000 system, but I hear that the Powernode's price is going to increase by $100 soon due to the tariffs.  Maybe look for a used Powernode 2 (I would avoid the first generation).   That said, if you already have a laptop or PC that you can use to stream, connect that to an NAD 3020 ($449) and there are a host of really great speakers in the $300 - 500 range (Elac, Monitor Audio, Wharfedale, etc.).

I've got a Powernode 2, Elac B5 speakers and S10 subwoofer in a second system (total cost <$1,200), and it is a very nice system to listen to.   

Similar to suggestions by @soix .. PS Audio Sprout100 ELAC System for $899:

https://www.psaudio.com/products/sprout100-elac-system/#tab-featureshttp://

They even includes speaker cables. Add a Chromecast Audio for streaming on the cheap (or just use Bluetooth). I would do this myself if I were in the market for a secondary system.

-Dynaudio X14a ($800) + a $200 dac
-Dynaudio XEO 4
-Dynaudio Xeo 6 used
-Edifier S3000 pro
-Vanatoo Encore One

-Any nice used $500 integrated + a pair of used speakers for $500...NAD C 356 BEE, Monitor Audio Silver 1 for example.

You can put together a pretty nice system for $1000-$1500 :-)

two options

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 Genelec powered monitors:

https://www.sweetwater.com/store/detail/8030CPM--genelec-8030c-5-inch-powered-studio-monitor

You need XLR to those speakers, as they are for the Pro/studio audience.  Try this as a DAC/streamer: 
https://orchardaudio.com/shop?olsPage=products%2Fpcnp-strmr .  Incredibly small footprint for your system, too.

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Topping D50s DAC connected to your computer,

https://www.audiosciencereview.com/forum/index.php?threads/review-and-measurements-of-new-topping-d50s-dac.7914/ 

used Yamaha integrated amp or receiver (AS-501, perhaps).

https://www.avhub.com.au/product-reviews/hi-fi/yamaha-a-s500-amplifier-review-test-395710 

You might find the digital inputs on the Yamaha sufficient, even, and skip the DAC. I think it uses the ESS chipset. that would leave room for a Raspberry Pi streamer, if you wanted to go that way.

Speakers are tough, but Dynaudio and Wharfedale suggestions above seem like solid suggestions.  

Sorry for the late response. These are very helpful ideas-Thanks.
A small sub with a small speaker would likely be 1/2 of the $1,000
budget. As most people have a computer, all you need is something
like the Sprout or do a powered speaker! 
Thanks!!