Andrew Tate allegedly had some seriously disturbing material on his devices … including extreme porn depicting sex acts with a horse and an eel … according to newly filed court docs obtained by TMZ.

The allegations are laid out in a massive filing connected to the UK’s effort to extradite Tate from the U.S. … and things get pretty dark.

British authorities allege Tate possessed explicit images depicting people having sex with live animals – specifically a horse and an eel – along with other extreme porn showing acts likely to cause serious genital injuries.

And that’s nowhere near the end of it … the docs also accuse Tate of making and possessing scores of indecent images and videos of a minor.

In one alleged video, authorities say Tate was on a bed with a girl believed to be 17, who was wearing lingerie and kissing his neck while another adult woman joined them.

Prosecutors claim messages show Tate knew she was underage … including one where he allegedly told her there could be legal problems because of her age.

The full case against Tate includes allegations of rape, assault, human trafficking, controlling prostitution for gain, and possession of extreme pornography. The UK formally asked the U.S. to extradite him in September.