Please recommend a good home stereo receiver with HDMI inputs, Bluetooth, and Sirius/XM compatibility.?

A long time ago when satellite first came out some manufactures offered receivers that were satellite compatible you still had to get an additional box and subscription but the channel info would come out on the receiver's display once the box was attached...That was before Pandora, Spotify and other Internet radio stations became popular. Since then most receivers now offer Internet radio connections as an option... I would recommend taking a look at the Onkyo TX 8270 very advanced stereo receiver with HDMI also the Outlaw Audio RR2160 also has a ton of features and is very advanced and hi quality....Today Sirius is offered as an Internet radio station you still have to have a subscription but its not really satellite your getting its an Internet radio station and available on Onkyo and other Network ready receivers that offer Internet radio...also another option the Pioneer SX-S30

Shop.

That is like asking for a recommendation for a car that has disc brakes, automatic transmission and cruise control. In other words, you need to be more specific, unless you think that this is really an interesting answer.

Good brands that you can get for reasonable prices include:

Harman / Kardon

Denon

Onkyo

NAD

Yamaha

Sherwood

Pioneer Elite (the regular line is OK, but the Elite line is recommended)

Sony ES (avoid non-ES models)

You will have to do your own research on which specific models have what features.

There are a lot of them. The real question, that you left out, is do you want a stereo model, a 5.1 home theater model, or a 7.1 or higher model.

Plus, what's your budget and what speakers will you be using with it.