Twisted Metal:

Cyburbia slide is my top TM track with the Theme being runner up.

https://youtu.be/ha3GKef9ug4?t=1163

Runner up:

https://youtu.be/ha3GKef9ug4

Twisted Metal 2

LA for my numba 1. Its hard for me to choose a favorite for TM2 but I feel like this is the song I think of most when I think of the game. Honorable mention to Antarctica.

https://youtu.be/sLFok2t605k

My runner up for TM2 is none other than New York. This track felt epic like a huge final battle was about to occur. But as we  all know that happened in hong kong instead  ;)

https://youtu.be/r7naLGn2o_k

Twisted metal Small Brawl

Shock Therapy is my favorite here and really hits home. Such a great track.

https://youtu.be/IA-KfHiu-jI

Runner up has to be easy death oven. Has some of that classic TM feel to it.

https://youtu.be/1An8U3LvnOw

Twisted Metal Black

Suburbs always felt awesome to me in a haunting way. I love this track

https://youtu.be/Jumoh5V_IOU

Warhawk is my runner up. It was a nice song to get pumped to while fighting well warhawk and made an already interesting fight more epic.

https://youtu.be/mjOkEvpCI1c

Twisted Metal: Head On

Monaco. Guitar rifts and a good beat. Its kind of hard with head on because a lot of the tracks, while good are not very appealing to me personally, but Monaco hits the right notes.

https://youtu.be/u9tRSvg4SPM

Runner up is Paris with its orchestral sounding track. Very reminiscent of warhawk in someways.

https://youtu.be/9lgwkZJ9G3c

TM1
Ambient: Warehouse for something creepy, and Cyburbia for some quiet rock
Battle: Rooftops

TM2
Normal: Moscow, Amazonia, New York, and Antarctica
Boss: Dark Tooth

Small Brawl
Shock Therapy, Now Slaying, Gridiron Gore

Black
Ambient: all except Prison Passage
Battle: Suburbs, Freeway, Skyscrapers, both death match tracks
Final Enemy: Suburbs, Downtown, Skyscrapers
Boss: Minion's Stadium

Head-On
Los Angeles (rock), Roman Ruins (orch.), Russia (all 3 versions), Transylvania (rock), Greece (rock)
Also love the use of the Level song "Disaster Proof".  It's what introduced me to the band in the first place.

TM1
Drop Dead. Not only is it the most unique track in that game, but it is also the one that has aged the best from a composition standpoint.

TM2
The Drop Zone. Another unique track in the context of its game that has aged fairly well.

TM3/TM4
I don't acknowledge these games in any way, shape or form.

Small Brawl
Playground Peril. I actually like this one for opposite reasons from the above two. It's dated sounding in a good way, and it has a lot of energy that just makes me want to be a kid again.

TMB
Steady Impulse. One of the most chaotic-sounding tracks in the game, and the mix of influences just sort of works better than the rest of the tracks I heard on this thing. (I'm not including Paint It Black, because that feels like cheating. Rolling Stones is hard to beat in general.)

Head-On
Russia. I'm in the same camp as the OP in that a lot of the tracks don't resonate with me despite how "good" they are on a technical level, but this one leaves enough of an impression to stand out.

2012
Shell. This is the best post-90s TM track by a country mile. It captures a lot of the chaos and fun of the old games while weaving in some of the darkness and terror introduced in Black, and I feel like it really epitomizes the atmosphere of its game. (Which was one of the better aspects of that one, comparatively speaking.)