irresponsible, irriputabe, irruptive
There are many words that include the prefix circum. In this list are the words circumcision, circumnavigate, circumference, and circumscribe.
A list of words with the prefix "bio" in them might include bio-hazard, biodegradable, or biosphere. Another word that contains "bio" as a prefix is biography.
See the related link for a list with OVER 1,500 words starting with the prefix IN.
The prefix after- means to come after. A few words with it are afterward, aftertaste, and afterglow. Make a few of your own.
Yes, spec is a prefix. See the related question for a list of words beginning with this prefix.
There is a very long list of words with the prefix ad. Some of the common ones include adjacent, adjective, advantage, advent, adorn, address, and adore.
nonexistent, nonsense, nonplus
Mircro is the prefix for small. Some words are microscope, microfilm, microvolt, mircrometer, microcard, etc.
There are several different words that use the prefix re. Some of these words include report, regain, relive, revise, retract, and regular.
reaccept rebreathe recultivate recommend
There's a great list in the Oxford English Dictionary - your public library is sure to have a copy.
The prefix archaios is just a term used for all prefixes that mean "ancient". A common word that is under a list of word that have the prefix archaios- is archeology.
quadrilateral, quadruple, quadriplegic, quadricep(s),