There's quite a long list of viruses which have a knock-on effect of increasing cancer risk, although often by indirect routes. HIV of course damages the human immune system, and one immune function is the detection and elimination of cells that have escaped the normal cell cycle control (i.e. potentially cancerous). Hepatitis damages the liver and (often in conjunction with alcohol use) that can raise chances of cancer. HPV I think has a more direct effect, in that the virus actually can integrate into DNA and potentially (depending on the specific strain) disrupt cell cycle control. Here's a list:

https://www.healthline.com/health/cancer-virus