Edit 1: Banality

[dukealien]

Through streets littered with 
tin cans and chit-chat,
I’m making my way home  can't help but feel simple present tense would work better here ("I make") since the rest of the poem is not walking through streets as "I'm making" suggests.
on a mellow Tuesday evening.
While I wait for a train
that goes my direction,
I decide to add to the mess  viewpoint character's only decision
by lighting up a cigarette.
I inhale deeply as
my lips kiss the bud;
stale smoke numbing my throat  here, again, present tense might work better and lead to a simpler next line
a feeling like that of a sore love-story.  why not "feeling like a sore love-story?"
Moments pass by like pedestrians nice simile
when I spot a faint rumble
coming from a near distance;
Pa-dum-dum, Pa-dum-dum, Pa-dum-dum
 
It’s that distinct sound  "distinct" seems weak - why not "distinctive" or even "banal?"
of going home,
presented by a carriage
that is marked with graffiti  if "that is" were cut, could add telling detail - "gang graffiti" or "tag graffitos"
and the occasional spot of rust.
It slowly grinds to a halt
with a loud screech and a whir.
Its gates squeak open
and out steps its guard.
He dons that unmistakable  really? puts it on just then? isn't it really more like, he wears the uniform and dons the silly hat?
silly hat and uniform,
colored black and blue respectively.
He asks for my destination,
to which I softly reply;
“Home, Sir, to Nessingway station".
I show him my ticket
to which he approvingly nods. "nods approvingly" might be smoother
I crack an awkward smile
while I step inside.
My eye catches a vacant seat  the idiom/cliche would be "vacant seat catches my eye," not sure this is better, though it is different
through the cluttered crowd;
A rugged leather couch with
a piece of fabric tearing out. is this a fabric patch?  or a piece of its [leather] fabric?
I sit down and rest my head
against the glass, staring through.
As the train slowly starts moving,
making that ubiquitous hum:
Pad-dum-dum, Pa-dum-dum, Pa-dum-dum
 
Through the stained windows  this is the big stanza, "the" seems to break up this first line unnecessarily
I spot my vague reflection.
Together we see the sunset  this line also needs work:  a better word than "Together," perhaps
accompanied by an ever-changing décor.
As if the credits from the end
 of a movie roll through
with a clichéd title like:
“Another day", starring myself
while the rails take me  better word than "take" - "slide," "thump me along," even "carry" or "pa-dum-dum me"
to the end of my destination.  "in the end to my destination?"
Instead of the screen turning black, "its" for "the?"
I get up and step outside,
spotting my reflection in the glass
one final time, while saying under my breath:
“Goodbye and until tomorrow”
The train slowly drifts off
yonder towards a setting sun,
bidding me farewell with that distinct sound: again, "distinctive" for the rhythm this time
Pa-dum-dum, Pa-dum-dum, Pa-dum-dum

Nice slice of life; the concept of sharing the sunset with your reflection makes it memorable.  Although a clutter of words reflects (g) the cluttered street and carriage interior, it seems to me the poem could be improved by editing out quite a few short words, particularly "a" and "the."  Continuity of rhythm is important here, to echo the larrup of wheels over points and rail joints.

The above offered in intensive critique, and doesn't stress the good points as much as in mild.  I can envision, even feel, the greasy glass against the side of my face, rays of orange sunset, bump of window ledge against shoulder.  My *important" reflection is the one on the other side of the aisle:  the one my temple rests against is too close, but the far one is a stranger.

Good ideas - does need workshopping and editing to link and mold them.