It is my first time to V

[sitifan]

1. This is the first time I've eaten Mexican food.
2. This is my first time to eat Mexican food.
#1 is supposed to be correct. Is #2 also acceptable?

[philo2009]

#1 is the standard construction in BrE. #2, I believe, is often preferred by AmE speakers.

[SoothingDave]

I see nothing wrong with either construction, as an AmE native.

[SlickVic9000]

(Not a Teacher)

Both are acceptable, but #1 is the most natural. The infinitive makes the sentence a little 'stiff', if that makes any sense.

[philo2009]

Arguably better-sounding would be

It was the first time for me to eat....

but the first construction is certainly the better of the two to my ears!

[Raymott]

1. This is the first time I've eaten Mexican food.
2. This is my first time to eat Mexican food.
#1 is supposed to be correct. Is #2 also acceptable?

To my ear, #2 sounds wrong. We don't do it that way in AusE. I can't even remember ever having read it in novels, etc.
Does anyone have any examples from serious writing? Or is this a spoken form?

[philo2009]

I suspect that it is considered a little colloquial...

[Barb_D]

"This is my first time eating Mexican food" sounds better to me than "... my first time to eat Mexican food," but "the first time I've had/eaten Mexican food" sounds the most natural of all.

[JarekSteliga]

To my ear, #2 sounds wrong. We don't do it that way in AusE. I can't even remember ever having read it in novels, etc.
Does anyone have any examples from serious writing? Or is this a spoken form?

I don't know about these examples being serious enough writing but here you go:

1. Hello Folks, this is my first time to send a message to the Leeds support list.

2. No, it'll be my first time to do anything quite like this.

Both found here: [bnc] BNC Simple Search - Using the BNC

You may come with different examples while writing "first time to" in the search box as this search engine returns randomized results

[5jj]

1. Hello Folks, this is my first time to send a message to the Leeds support list.
2. No, it'll be my first time to do anything quite like this.

Both found here: [bnc] BNC Simple Search - Using the BNC

You have to be careful how you use BNC. It has 106 citations for 'first time to' of which 100 are for 'the first time to'; however, 98 of these are for 'for the first time to', in which those words preceded by a verb, as in 'he went for the first time to his new office'. There are only two for 'my first time to' - those you quoted. 'My first time to' is therefore pretty uncommon.