I don't think the list of tactical style is comprehensive. I nearly always create my own style.
When choosing any tactical style, The important things to consider are:
Match situation (leading, drawing, behind) for example you might want to play possession if you are drawing, counter if you are leading and attacking if you are behind.
player attributes. I will mention the main ones in the section below.
Media prediction of where the team will finish
The Structure of your squad (Core attributes, depth vs quality, flexibility vs specialization) if you have more depth go for high intensity systems like gegen press. if you have more specialization go for structural systems such as direct counter or Route one. if core attributes are technical use Tika Taka.
Gegenpress: aggression (even in forwards, like alexis sanchez), stamia if you are going to use throughout match, work rate, acceleration (should be average) , decisions to make good use of counter attacks and anticipation in forwards so they can capitalize on mistakes, also off the ball if you want to play fluid.
Control Possession: composure to soak up press and be able to pick the right pass, vision to find good passes to open up the opposition, teamwork so short passing leads to more possession. forward/s should have off the ball and anticipation to get into goal scoring position. team shape is high up the pitch with more urgent pressing means you should have good aggression, anticipation and workrate so you win the ball early because use offside trap is not a default.
Tiki taka: Vision is a must, the team is playing lower tempo and narrow, dribble less, it will be hard to find openings unless you have good vision. Copmposure is also important. Extremely high Aggression vs Work rate so you win the ball early in a extremely high press system.
Vertical Tiki Taka: to follow
Wing Play: to follow
Route One: to follow
Fluid Counter: to follow
Direct Counter: to follow
Catenaccio: to follow
Park the Bus: to follow