Most commercial filters remove all biologicals except viruses. Some filters are rated as removing viruses as well. The Sawyer was mentioned.
As noted, viruses are not a major hazard in the U.S.
Regular chlorine or iodine, used according to directions (which consider temperature and turbidity) are effective against all biohazards except cysts (e.g. giardia and cryptosporidium).
Chlorine dioxide, used according to directions, will take care of cysts, but that's where the four-hour wait comes in.
Bringing water to a boil removes all biological threats according to all private (e.g. Wilderness Medical Society; Mayo Clinic) and public authorities (e.g., U.S. C.D.C.; U.S.E.P.A.). In fact, bringing to a boil is to insure you made it to the temperature required, which is about 20 degrees F under boiling at sea level (Over being better than under.).
Activated charcoal (AKA "carbon") reduces chemical and toxin hazards. It is wise to make a careful inspection and see if the water is supporting life. (I have seen some very clear water out West - due to arsenic killing everything in it, plant and animal.) Filters, apart from activated charcoal they may include and ceramic or otherwise, are not represented or regarded as reducing chemical or toxin hazards.
Distilling with a solar still, done properly, removes all hazards except volatile chemicals (e.g. benzine).
SODIS is an approach that sterilizes bio-hazards using solar radiation and heating so they cannot multiply (that is, cannot make you 'sick"):
http://www.sodis.ch/index_EN
Steripens, used according to directions, remove all biohazards with UV radiation. Directions require clear water and keeping the equipment above freezing. Don't run out of batteries. Don't drop it.
UK ex-military types commonly suggest potassium permanganate, but no one else does, and PP is not available to the general public in the U.S. since shortly after 9/11.
So you have several very reliable methods. A good filter followed by chlorine or iodine is an abundance of caution.