Fuzz tones started to become popular in the 60s. Well, the Fuzz sound was the only kind of distorted sound around at that time.
The nature of Fuzz is that its tone is soft, but it also tends to take over your natural tone.

The softness of a Fuzz can be experienced by turning your tone control down all the way, use the neck pick up and play any notes on the low E and A string and listen to its sound: It will sound a bit like a synth,  let a note ring and it may give you that violin-like quality.

Some overdrive-and distortion pedals are great at being able to give you a Fuzz-like tone. Their sound may be somewhat different to any of the vintage Fuzz pedals you may know, but still, they may sound very pleasing and Fuzz-like.

Thinking of any of the Boss pedals: The SD-2 can sound very Fuzz-like when you use it in the Lead mode. Work with your amp and pedal settings to get the sound you like. Sometimes you may like to get the level of the pedal higher compared to the level of your amp: The pedal will take over your sound, but it may be the sound you just want at that time.

Dan Armstrong’s Blue Clipper can be a great Fuzz as well: There are no tone, or level controls on this pedal. The pedal itself is very primitive, therefore  a good candiate for a Fuzz.

The XT-2 and the PW-2, all from the Boss range are also good at creating realistic Fuzz tones.

Once you start dialing in for Fuzz tones think about your tone control: Keep it down as much as you can to reduce any artificial treble, and keep your playing primative as well: Simple Riffs and Power chords, but no speed shredding! Try it also while using alternative tunings, or any simple open string chords.

Enjoy and hope to see you soon again.
Eddie