To assist on this, the achievements only pop up after they are completed on the Achievements tab
Do not follow what the profile says
For the Ranked, here is how it works based on what I saw, You are pair in groups of 100 players to reach the top of the leaderboard
For Iron, Bronze and Silver, in order to advance to the next tier, you need to get to the top 50 players based in the points won on that period of time, here, the percentages are the most important since it means more points between matches, even if you don´t win, you get points
For Gold and onwards, it is based in Stars collected between ranked periods
You start with 3 stars and need to get 10 to advance to the next tier
You lose 3 stars if you end in the last 10 of the leaderboard
If between 90 and 51, you don´t win or lose stars
On Top 50, you earn 3 stars - Top 20 gives you 5 stars and in Top 5 - You earn 10 stars to advance right away

Actually found out what the actual trigger was. So despite the game saying you have this certain record, the trigger is based off of getting the 150 red ring achievement, so like most things with this product, it's done poorly and displays information that's incorrect for the unlocking criteria.

This is probably why Poe didn't unlock the 25 times, they didn't collect the reward to trigger it.

Sadly my 150 didn't pop up. I'm at like 160s now for top 3.

you must check in achievments in their game, appears reclaim, and u got the achievment

@Poefred Have you accepted the challenge to give you points? You can check how many times you've won in top 3 place by clicking your profile on top left.

My profile says I've gotten top 3 in ring survival more than 25 times but the achievement hasn't popped.

Rank achievments, really sucks, because its depends of ur bonus porcentage, to reach more highter score to get up between ranks, so is a really tough this section