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delete-backward-char).
delete-char).
kill-line).
kill-word).
backward-kill-word).
You already know about the <DEL> key which deletes the character before point (that is, before the cursor). Another key, Control-d (C-d for short), deletes the character after point (that is, the character that the cursor is on). This shifts the rest of the text on the line to the left. If you type C-d at the end of a line, it joins that line with the following line.
To erase a larger amount of text, use the C-k key, which erases (kills) a line at a time. If you type C-k at the beginning or middle of a line, it kills all the text up to the end of the line. If you type C-k at the end of a line, it joins that line with the following line.
See Killing, for more flexible ways of killing text.