He has already come.
Sometimes the insertion of an adjective (in this case “already”) makes the verb structure more difficult to see.
If the sentence is re-stated as: ##color(white)(“XXX”)##He already has come. it is easier to see the perfect tense. (Note that despite its name, the “present perfect” is a action tense).
There are 3 (main, see note below) past tenses (in English):
##{: (“simple past:”,”independent action completed in past”, ” | “,”He came.”), (“present perfect:”,”action completed before now”,” | “,” He has come.”), (“past perfect:”,”action completed before some other action in the past”,” | “,”He had come.”) :}##
In addition to these main forms there are also past progressive forms for ongoing actions in the past:
##{: (“simple past progressive”,” | “,”He was coming.”), (“present perfect progressive”,” | “,”He has been coming.”), (“past perfect progressive”,” | “,”He had been coming”) :}##