I was thinking of tackling swing wing aircraft next, but I really know little more than is told by Wikipedia -
- so lets look at fighters using lift jet engines. Those too form quite a zoo.
First there were, beside the two tail sitter jets already mentioned, the flying jet engines - the Rolls Royce Flying Bedstead with two horizontally mounted Derwent engines and the Soviet Turbolot with one engine mounted vertically.
Real VTOL aircraft with vertically mounted engines were the Short SC-1 with four lift engines and a propulsion engine, the Lockheed XV-4B, also with four lift engines where the earlier XV-4 had the thrust augmentation box, and with two propulsion engines, and the French Balzac V and Mirage IIIV each with eight Rolls Royce lift engines and a single propulsion engine. The weight penalty for separate take off engines is of course horrendous. A strange bird in this aviary is the MiG-23PD, a STOL aircraft developed parallel to the ordinary MiG-23 with a delta wing and a pair of lift engines behind the cockpit.
Real experimental aircraft with horizontal engines begin with the Bell X-14, the Hawker P.1127 Kestrel and the Yak-36 Freehand. The X-14 let nowhere, the Kestrel let to the well known Harrier and the Yak-36 let to the Yak-38. X-14 and Yak-36 had a pair of engines in the forward fuselage from which the efflux could be directed down.
The Harrier and its developments use a single engine with four jet pipes that can be directed down.
The Yak-38 used a single cruise engine with a pair of jet pipes and directly behind the cockpit a pair of lift engines. It's intended successor Yak-141 had a single cruise engine from which the exhaust can be directed down and again a pair of lift engines behind the cockpit.
The last of the line is the LM F-35B similar to and partly based on the experience with the Yak-141, but with a cruise engine that drives in vertical flight mode a fan behind the cockpit by way of a shaft.
The odd man out among these families of VTOL/STOVL fighters is the German VJ-101C with a pair of engines swiveling on each wing tip and a pair of the same type of engines build in behind the cockpit as lift engines. The only one of the lot that I have seen.
Now what about them?
The main problem with them is the ingestion of engine exhaust gas. When that happens thrust decreases greatly and you are in extreme danger.
The second problem is the interaction with the ground:
* the engine efflux might generate low pressure on the bottom of the fuselage or even the wing so the aircraft is sucked to the ground instead of lifted away
* a different matter is the swirling up of sand or concrete or asphalt from the surface the aircraft tries to land on or takes off from. On a ship you don't want to burn off the anti-skid layer or even burn pits in the steel deck.
The aircraft were originally thought of as operating from a short distance behind a front line. In a world where MRLS have ranges up to 400 km that is not a healthy concept. For use from aircraft carriers you prefer to build the STOL characteristics into the ship not the aircraft because of the huge penalty in weight and maintenance.
So in short this is a cul-de-sac and the F-35B will be its very last manifestation.