Going to school for my FAA certificate and though I know the basics I still have the "gotta know it all" feeling. SO! pros and cons of the following
opposed
V block
In-line
reciprocating

Not quite sure what your question is regarding your list of engines, but assuming they are asking you to evaluate each of the engines, here is my comment:
#1- Opposed engines are engines which have there cylinders on opposite sides of the crankcase and is the engine of choice of many manufactors of light aircraft such as Cessna, Piper and Beechcraft-Raytron. First appeared on the aviation sence in the forties, with the Cessna 120, Luschome 8A, Ercoupe, Stinson, Taylorcraft and probaley some others that I have forgotten about. Good reliable engine, no heat problems that I ever heard about with would warrant an AD from the FAA.
#2- There were a couple of different aircraft which tried the V-block engine, such as those in a car, but because of weight, due to liquid cooling and weight of the engine, as far as I know, neither one ever went to production.
#3- Inline engines have a long history in aviation, starting back in the mid or early 1900's, used almost on ever aircraft in WW1 and the in-line design went on to power a whole host of aircraft, Fairchild PT-19', 26's, P-51's, Spitfires and some of the Geman and Japanese aircraft also used the inline engine. Some were cooled in flight with a coolant liquid, and some were cooled with forced air thur the cylinder arrangement. Top end speed with the in-lines were good to excellent, but not much climbing power when pitted against the more powerful Radial engines.
#4- Radial engines are probabley the best all around design for a number of reasons. Power output vs weight, ease of cooling, simple design, ease of maintaince. Untill the on slaught of jet engines, ever aircraft which carried more than 3 people, since the late 30's, were powered with Radial engines, the smallest being a "Kinner", 5 cylinder on the PT-22 Rayans which trained a lot of pilots in the 30's and 40's to the biggest radial ever built, the Pratt & Whitney R-4360 engine which powered the giant B-36, XC-99, Boeing 377 Stratocruisers which the airlines used, the KC-97's, B-50's just to list a few of the aircraft which used this engine. Serveral of these aircraft had heat problems with the rear bank of cylinders, such as the B-36, B-29, B-50 and the Boeing 377. Even the Lockheed 1049G "Constellation", i.e. C-69 had cooling problems.

A opposed engine.

A inline, inverted engine.

The largest radial engine ever mass produced, had 28 total cylinders, arranged in 4 banks of 7 cylinders in each bank.
I hope this might of help to you, if not, be more specific about your question and I might could help you!
