Other than Analog Heat, what are some effects hardware that add warmth, fatness, etc?

To come back to OP’s question, I really enjoy what the Bastl Bestie has to offer.
I use it together with a RNC, I like how it can be very quickly wild but still do the job calmly when knobs are before noon.
A 5 stereo mixer in a compact format is ace.

Discussion here.