Technically any animal that has contracted an STD can pass that STD on.
For instance, AIDS is passed through bodily fluids, and since Sperm is a bodily fluid, then yes, you CAN get an STD from... Eating dog sperm.
In fair warning; Sexual acts with animals in the US is illegal, and in my personal opinion, is animal cruelty. I don't recommend doing anything with anyone excepting your own species.
For instance, AIDS is passed through bodily fluids, and since Sperm is a bodily fluid, then yes, you CAN get an STD from... Eating dog sperm.
In fair warning; Sexual acts with animals in the US is illegal, and in my personal opinion, is animal cruelty. I don't recommend doing anything with anyone excepting your own species.