So, you might have heard about > or ≥. But are you ready for...
≩ U+2269 GREATER-THAN BUT NOT EQUAL TO
⋛ U+22DB GREATER-THAN EQUAL TO OR LESS-THAN (just remember that ⋛ is not equal to ⋚)
⪌ U+2A8C GREATER-THAN ABOVE DOUBLE-LINE EQUAL ABOVE LESS-THAN (compare to ⪋, ⪒, and ⪑)
And of course, let's not forget the classic ⪔ U+2A94 GREATER-THAN ABOVE SLANTED EQUAL ABOVE LESS-THAN ABOVE SLANTED EQUAL (don't mix that one up with ⪓)