"computational model": finite state machine, Turing machine, Petri nets, data-flow, stored program (a.k.a. Von Neumann, or Princeton), dual memory (a.k.a. Harvard), cellular automata, neural networks, quantum computers, analog computers for differential equations
"instruction set architecture": ARM, x86, RISC-V, IBM 360
"instruction set style": CISC, RISC, VLIW, MOVE (a.k.a TTA - Transport Triggered Architecture), Vector
"number of addresses": 0 (stack machine), 1 (accumulator machine), 2 (most CISCs), 3 (most RISCs), 4 (popular with sequential memory machines like Turing's ACE or the Bendix G-15)
"micro-architecture": single cycle, multi-cycle, pipelines, super-pipelined, out-of-order
"system organization": distributed memory, shared memory, non uniform memory, homogeneous, heterogeneous
With these different dimensions for "computer architecture" you will have different answers for which was the weirdest one.