To avoid any confusion, I want to make it clear first that virtual assistant work is not always non-phone, but it can be. Virtual assistants tend to do a little bit of everything, just depending on their skills/expertise. So if you are good at various non-phone tasks (social media marketing/moderation, writing, graphic design, research etc.), then you may be able to do work for some of the companies below putting those non-phone skills to work.
After your initial training the real work begins. The best virtual assistants will scour popular sites such as Upwork and Freelancer, looking for work from home job opportunities and new job leads. Also, be sure to completely fill out your profile and list all pertinent skills. Potential clients can search for qualified remote workers and proactively contact them about potential job opportunities.