Correct on all four.

#35: Doublekill!

1. Flak Monkey
2. Adrenaline!
3. Double Domination and Assault
4. It's basically an enhanced version of the previous year's entry
5. M-M-M-Monsterkill!

#34: In this game, you steer a character from the womb until college graduation. 

1. What you can learn depends on the stats you gain each year in the brain grid
2. You meet several other children and students during your childhood, some of which you can make deep friendships (and more!) - but you can also be  bad to someone and have them end their friendship with you.
3. The character you created grows up in the 80's, so activities like the arcade or board games are open and you can learn computer science in a computer club 
4. You don't have to, and probably can't, learn everything that's possible to learn in this game, as the options grow bigger and wider with every step, from baby stage to preschool, to school to high school to college.
5. You can become a delinquent, a cook, a fashion designer or a hacker, among other things

#33: A post-apocalyptic game with a bit of silliness included

1. Part of a long-running series
2. The last mainline entry from it's original creators
3. There was a follow-up in the works, but it was largely unfinished, though most of it is still canon for the rest of the series.
4. After this, the company that created the series did prefer making spin-offs of the franchise that were very poorly received and certainly had a hand in bringing the company down.

#32: Your mission: To slowly terraform Mars into a habitable planet

1. You are actually an AI who steers the terraforming effort, but after the early phase human scientists will move in and conduct research on your behalf.
2. Along the game you come along some multiple choice questions that mold the behavior of the AI you are playing as
3. Your two main characters that you are talking to are a scientist back on earth who checks on you and comes sometimes with new directives, and a scientist who came to Mars after you established the basics with a more direct approach to things.
4. The game actually also acknowledges Musk's plan to use nukes to raise the temperatures and make Mars more habitable that way. In fact, ou can agree to this, but you can also refuse to do so.

#31: Often called the black sheep of this action-adventure series from Nintendo

1. It just got a very enhanced remake on PC that vastly enlarges the game.
2. In Japan, this game didn't come out on cartridges, but on the Disk drive.
3. Unlike all the other games in the series, this one is a side-scroller.

#30: Your mission here is to build a specific kind of structure for a very specific kind of people.

1. And you must ensure that the people stay in that structure, at least as long as they're supposed to.
2. To do so, you need build structures to house those people, to entertain them, to feed them, to shower them, to train them so they can work for you for cheap, but most importantly, to keep them from killing each other and especially keep them from rioting or leaving your place without being allowed to.

#28: A turn-based strategy game with Cities to strengthen and defend, structures that give some buffs, ressources lying around and Heroes to fight the monsters along the way.

1. In this entry of the series, monsters guarding ressources actually can wander around a bit, so if you get too close they will attack you and not wait until you attack them!

#27 This game had several successors, but everybody agrees that none of them come even close to this entry of the series - though the last entry is at least considered good.

#26 A game set in the Classic (also known as Old) World of Darkness.

#25 A Russian turn-based strategy/RPG with a hint of city builder and several months worth of time to play just to the campaign on the easiest difficulty.

#24 A Fantasy Citybuilder in early access with warped versions of the usual fantasy races. For instance, the Orc-like Cretonians are vegetarians and really bad at fighting, while the Elf-like Tilapis are racist cannibals (but also the best babysitters for some reason) and humans are brillant researchers, but prone to crime and insanity. Just the Dwarf-like Dodorians are still similar to their original fantasy race, as they like stone buildings, mining and crafts - but they also can't be born like the other races.

More hints!

#25 - The development team behind this game was sort of the Traveling Wilburys of RPGs

#24 - The sequel to this open-world game, itself a sequel, was remastered earlier this year

#23 - After launch, this game got an extended version, a remaster, a reworked handheld version, and, just this year, a full remake

#22 - This game launched a string of spiritual sequels, the newest of which goes by the code name "Project Robot"

#21 - When they go Lo, we go Hy

I think that might be A Link Between Worlds?

That’s exactly right!

25: I guess this could be Chrono Trigger

Current list - https://gamrconnect.vgchartz.com/thread.php?id=249858&page=1#6

25 (incorrect guesses - The Witcher 3)
- One particular port of this game is often cited as highly impressive for cramming so much content onto one cart.
- Once you complete one scenario with one playable character, you are able to play the corresponding scenario with the other playable character.

24
- This game originally started as a spin off before eventually becoming a numbered entry in this popular series.

23
- One of the titular characters in this 3D platformer first appeared in another game of a different genre.

22
- In this ‘90s first person shooter, you need to collect ancient artifacts that then enable you to revisit levels to reach previously inaccessible areas and level exits.

21
- This game takes place on an island shaped like the head of the titular character.

24) Morrowind?

23) MGS3?

Guessed by @TruckOSaurus 

Diablo III is a game with a bit of an arc to it. It released to controversy though I enjoyed it greatly, admittedly got even better with the Reaper of Souls DLC and then eventually was hurt by powercreep and noisy additions due to continuing to update a game that already had all the content it needed. The latter is unfortunately more rule than exception for Blizzard's games post 2010, but either way I have had some great times with this game and it was for a good few years one of the best ARPGs with both awesome combat and on-the-fly customization.

Guessed by @TruckOSaurus 

Yeah what can you really say other that it's a near perfect (pseudo-)indie game and Metroidvania. From a pure question of craftmanship I would even consider it "better" than many of the games higher up as it's hard to even put a finger on this one, they just nailed all the aspect from sound to visuals to story and gameplay. And yet the fact that it "only" makes the halfway mark speaks to the quality and power of the impressions left by games even higher up. It's hard even to fit a masterpiece in the top half.