Αν δεν βρω καλή ανταπόκριση αύριο, θα πάρω ταξί μέχρι τον τερματικό σταθμό, γιατί δεν θέλω άλλη ακύρωση.

It has three main parts:

• Αν δεν βρω καλή ανταπόκριση αύριο = If I don’t find a good connection tomorrow
• θα πάρω ταξί μέχρι τον τερματικό σταθμό = I’ll take a taxi to the terminal station
• γιατί δεν θέλω άλλη ακύρωση = because I don’t want another cancellation

So the pattern is:

• condition: Αν...
• result: θα...
• reason: γιατί...

This is a very common Greek structure for talking about a possible future situation and what you will do if it happens.

Because after αν in a future condition, Greek normally uses the perfective form of the verb, here βρω.

• βρίσκω = I find / I am finding
• βρω = find, as a single complete event

In this sentence, the speaker means if I fail to find one suitable connection tomorrow, so Greek uses βρω.

Αν δεν θα βρω is not the normal pattern here.
Greek usually says:

• αν βρω = if I find
• αν δεν βρω = if I don’t find

Many textbooks call βρω here the aorist subjunctive; some modern grammars describe it as the perfective non-past form. Either way, this is the form you expect after αν in this kind of sentence.

Because αν and να do different jobs, and you do not normally combine them here.

Compare:

• να βρω = for me to find / that I find
• αν βρω = if I find
• θα βρω = I will find

The verb form looks similar after all of these little words, but the particle changes the meaning:

• να gives a subjunctive idea
• αν introduces a condition
• θα makes a future

So αν δεν βρω is correct, while αν να βρω would be wrong in standard Greek.

Here ανταπόκριση means a transport connection or transfer, not a response.

So καλή ανταπόκριση here means something like:

• a good connection
• a convenient transfer
• a connection that works well with the next bus/train/etc.

That fits the rest of the sentence, because it also mentions:

• ταξί
• τερματικό σταθμό
• ακύρωση

All of that strongly suggests travel or transit.

Greek often leaves out the article with indefinite nouns, especially in everyday speech.

So here:

• καλή ανταπόκριση = a good connection
• ταξί = a taxi
• άλλη ακύρωση = another cancellation

You could also say:

• μια καλή ανταπόκριση
• ένα ταξί
• μια άλλη ακύρωση

Those are also correct, but the version without the indefinite article is very natural in Greek.

Also, παίρνω ταξί is a very common expression, much like saying take a taxi in English.

Θα πάρω means I will take.

Again, Greek uses the perfective form here because the speaker is talking about one complete future action:

• θα πάρω ταξί = I’ll take a taxi

Compare:

• θα πάρω = I will take once / as a complete action
• θα παίρνω = I will be taking / I will take regularly or repeatedly

So θα πάρω is exactly what you would expect here.

Μέχρι can mean different things depending on context:

• with time: until
• with place: up to, as far as, or to

Here it is about place, so:

• μέχρι τον τερματικό σταθμό = to / as far as the terminal station

So yes, μέχρι often gets translated as until, but in location phrases it often means up to or as far as instead.

Because this noun phrase is in the accusative singular masculine.

You can see agreement across the whole phrase:

• τον = masculine singular accusative article
• τερματικό = masculine singular accusative adjective
• σταθμό = masculine singular accusative noun

This is the form used here after μέχρι.

Also, the basic dictionary forms are:

• ο τερματικός σταθμός = the terminal station
• τον τερματικό σταθμό = the terminal station, as object / after this preposition

Yes, επειδή could also work, but γιατί is very common and natural in everyday Greek.

Here:

• γιατί δεν θέλω άλλη ακύρωση = because I don’t want another cancellation

Very roughly:

• γιατί often sounds more conversational
• επειδή can sound a bit more explicit or formal

In this sentence, γιατί is completely normal.

Άλλη ακύρωση means another cancellation or one more cancellation.

• άλλη ακύρωση = another cancellation
• μία άλλη ακύρωση = another cancellation, with a little more explicitness or emphasis
• την άλλη ακύρωση = the other cancellation

So την άλλη ακύρωση would mean something different.

The sentence is talking about one more cancellation happening, not about a specific already-known other cancellation, so άλλη ακύρωση is the right choice.

Because the speaker is expressing a present attitude or preference:

• δεν θέλω άλλη ακύρωση = I don’t want another cancellation

That present feeling explains the future decision:

• If I don’t find a good connection tomorrow, I’ll take a taxi, because I don’t want another cancellation.

You could imagine δεν θα θέλω in some contexts, but here it would sound less natural. The idea is not really I will not want; it is I already don’t want that kind of problem.

Yes. Greek word order is fairly flexible, and αύριο can move depending on emphasis.

For example:

• Αν δεν βρω καλή ανταπόκριση αύριο, ...
• Αν δεν βρω αύριο καλή ανταπόκριση, ...
• Αύριο, αν δεν βρω καλή ανταπόκριση, ...

All of these are possible. The original version sounds natural and neutral.

Its current position makes αύριο feel closely tied to βρω καλή ανταπόκριση: the speaker is specifically talking about finding a connection tomorrow.

Because Greek usually does not need subject pronouns when the verb ending already shows the person.

Here the verb forms already tell you it is I:

• βρω = I find
• πάρω = I take / I will take
• θέλω = I want

So adding εγώ would usually only be for emphasis or contrast, for example:

• Εγώ θα πάρω ταξί = I will take a taxi

Without that special emphasis, leaving the pronoun out is the normal choice.

Yes, it is understandable and correct. It means the terminal / end station of a line.

Depending on region and context, people might also use other expressions, but τον τερματικό σταθμό is perfectly natural Greek and easy to understand in a transport context.

So for a learner, the main point is:

• σταθμός = station
• τερματικός = terminal / final / end-point related

Together they give the idea of the terminal station.