In bull market:
Flags, High and Tight
Pipe Bottoms
Scallops, Ascending and Inverted
Three Rising Valleys
Rounding Bottoms
Triangles, Decending
broadening wedges, Ascending
Double Bottoms, Eve & Eve
Head and Shoulders Bottoms
Triple Bottoms
Bump-and-Run Reversal Bottoms
Diamond Bottoms
Double Bottoms, Adam & Eve
Head and Shoulders Bottoms, Complex
Double Bottoms, Adam & Adam
Double Bottoms, Eve & Adam
Rectangle Bottoms
broadening wedges, Descending
Cup with Handle
Horn Bottoms
Islands, Long
Scallops, Ascending
Triangles, Symmetrical
broadening bottom
Triangles, Ascending
Wedges, Rising
broadening right angle ascending
boradening tops
Wedges, Falling
Island Reversals
broadening right angle decending
Flags n/a
Pennants n/a
In Bear Market
Flags, High and Tight
Diamond Bottoms
Pipe Bottoms
Bump-and-Run Reversal Bottoms
Double Bottoms, Adam & Eve
Head and Shoulders Bottoms, Complex
Islands, Long
Rounding Bottoms
Head and Shoulders Bottoms
Horn Bottoms
Scallops, Ascending and Inverted
Triangles, Decending
Triangles, Symmetrical
broadening right angle decending
Double Bottoms, Eve & Eve
Triple Bottoms
Double Bottoms, Eve & Adam
Cup with Handle
broadening wedges, Ascending
Double Bottoms, Adam & Adam
Rectangle Bottoms
Triangles, Ascending
Wedges, Falling
broadening bottom
Three Rising Valleys
boradening tops
Island Reversals
broadening wedges, Descending
broadening right angle ascending
Wedges, Rising
Scallops, Ascending
There are several bearish patterns as well such as the head and shoulders top.
More information will come about these chart patterns in the future. I suggest in the meantime you look up the information of these chart patterns yourself at a site such as investopedia.
In the meantime, you should check out the 11 most common chart patterns by Dan Zanger at ChartPattern.com.