In addition to Carterbuzz's suggestions (I have a Crush 35RT and am content with it), There is also options like the Fender Mustang Micro headphone amp. It's great for quick practice with headphones (I imagine connecting the headphone out to speakers with an Aux in works too). You can plug directly into the output of the last pedal on your board. It also has a mode to be used as a DI USB interface (for example I connect it to my phone to use Solo app). Then there's amp-in-a-box pedals like the Strymon Iridium, the new TC Electronic Ampworx line, and the UA Dream/Ruby/Woodrow that work with headphones or as a DI or into FRFR studio monitors.

If I had known more about things when I got back into guitars a couple years ago, I probably would have gone with an Iridium since it gives you some classic Fender (Deluxe Reverb), Vox (AC30 bright channel), and Marshall (Plexi Super Lead) tones all in one pedal. Like I said I'm content with 35rt (which does have aux in and headphone out with cab sim, I've not used them and reportedly the cab sim into a mixer or DI interface isn't very good), but just for home use the amp-in-a-pedal with headphones, cab sims, and DI is more flexible.