This is my favorite amp:

It's a 1961 brownface Super (with a brown Bandmaster face-plate) in a home-made blond tolex box with a single 4ohm 12" speaker. It's been my main stage amp for over a decade and it has been to heck and back in the back of a van over and over again and just keeps on taking more and more punishment without any problems. It's hard to describe how great it sounds. Sounds amazing on 2 and sounds amazing on 10, and all points in between. Also, despite its age, it is the most reliable amp I've ever owned.
Unfortunately it's not always loud enough, so these days I'm often stuck playing a blackface Dual Showman with a 2x12 cab:

You can see it above on the right, with a '65 Fender reverb tank next to it. That's usually my live rig these days, and after years of being spoiled by the brown amp, I'm not really satisfied with the Dual Showman. However the other guitar player plays through a Gomez replica of a brownface Showman (it's on the left in the photo above) with a 1x15, and our bass player plays through a Dual Showman with a 2x15 (his amp is second from left), and our Farfisa player blares through a 180-watt solid-state Leslie (hidden by the Farfisa in the photo) so I need the Dual Showman to keep up. Our bass player is actually wanting one of those 300 watt Acoustic heads, because he isn't loud enough (everyone is usually turned up to 7 or 8). I think we might have a volume problem.
Here are my favorite recording amps...none of them are loud enough to gig with.
This is an early 60s Kay (left) and a Silvertone (right) from 1949:

This is a 1961 Supro that sounds unbelievable...kind of a one-trick pony but that one trick makes your jaw hit the floor when you hear it:

This amp was mine for years and then I sold it to a friend and now it is back with me again. It's loud enough for very low volume gigging (that rules out my current bands haha) and it records beautifully. It's a mid-60s Premier 100R Custom (with the Premier 90 two-knob reverb tank circuit in front of the preamp). An extremely rare and unusual amp with top quality components and impeccable workmanship. The 12" Jensen and 2x6V6 power section don't give enough headroom for anything but very low-volume gigging (think drummer with brushes).
Next to the amp you can see my Tel-Ray Ad'n'echo oilcan delay, an early 60s oddity which sounds like nothing else.

This split-chassis Danelectro-made Silvertone is one of my favorite sounding amps, and although it is moderately louder (2x6L6 and a beautiful 15" Jensen) than the Premier pictured above, it still isn't loud enough for me to gig with regularly, unless it is a venue with really great monitors and I don't need to rely on the amp to hear myself onstage (and that rules out about 90% of the venues we play haha).

The split-chassis design is really effective for reducing hum and noise (when this amp is idling with the volume on 10 and nothing plugged into it, it is
dead quiet) and that makes this an ideal recording amp. The extremely flimsy cabinet construction makes it a poor candidate for anything else. Here's a clear view of the split chassis, with the back panel removed:

I have some other cool amps but these are my favorites for gigging and recording.
The rest of the stuff I use depends on which band I'm gigging with.
With the surf/garage band it's usually the Mosrite into a Fuzzrite clone, an overdrive and the reverb tank into the amp.
With the rockabilly band it's a heavily modified '59 Gretsch 6186 into a Roland Space Echo straight into the amp.
For punk rock the Gretsch or an old Danelectro plugged straight into the brown Super turned up to 10 is a pretty glorious Johnny Thunders kinda sound.
For recording I use all kinds of other crap that is too unpredictable for the stage, like a Rangemaster, a really demented sounding Shin-ei Companion fuzz, the Tel-Ray oilcan echo, some weird Japanese fuzz-wahs, a couple of different SuperFuzzes, a solid-state Echoplex, an 80s Ibanez analog delay pedal (for flying saucer noise effects) and some other crap I'm probably forgetting.