What are some fears or phobias that most people or many people have?

Animals & Heights. Fear of animals, heights, blood (or medical procedures such as needles), and flying are the most frequently occurring phobias in clinical samples in that order (barlow, 2002; bourdon et al., 1988). My work suggests african americans report more animal fears than other groups (chapman et al., 2008; chapman et al., 2011). Public speaking, part of social phobia, is most common "fear" in general.
Heights, Small Rooms. Probably two of the most common fears are related to a fear of heights (acrophobia) and a fear of small or closed in spaces (claustrophobia). Another common area of fearfulness has to do with fears of social or public settings (agoraphobia). There are many others.