To begin, to enable the ability to earn achievements, you need to activate the beta version of the application. At the time of writing this guide, it's v3.1 beta, and it will later be referred to as the main version.

Here's how to do it:
Right-click on the application, then select Properties... -> Betas -> Beta Participation, and choose the version dsx_v3.1_beta - v3.1 Beta as shown in the image below.

Pad Pair
Connect a Controller to DSX for the first time.
Simple and easy! Just connect your controller via USB or Bluetooth.

Multi-Pad Pair
Connect more than one controller to DSX for the first time.
You need to connect a second controller via USB or Bluetooth.

Close One
If Controller is 0%-10% battery and you connect it to power.

As stated in the description, you need to connect the controller when its charge is between 0%-10%. You can check the charge level by connecting the controller to your PC and navigating to the Controllers tab in the application, as shown in the image below.

DSX Anniversary
Run DSX on DSX's release date anniversary (June 24th).
You need to change the date on your PC to June 24th. Close the application, change the date, and then reopen the application. Don't forget to uncheck the option for automatic date and time synchronization!

Dead Begone
Apply deadzones to either Triggers or Joysticks.
You need to go to the Edit Controller Profile tab, then select Deadzones -> Left/Right Joystick Deadzone on the right. Simply adjust the slider in the Deadzone section to any value other than 10%, as shown in the image below.

Virtual Box
Activate Virtual Xbox emulation for the first time.
You need to go to the Edit Controller Profile tab and, under the Virtual Device section, select Xbox 360 Emulation from the dropdown menu, as shown in the image below.

Virtual Station
Activate Virtual DualShock or DualSense for the first time.
Same as Virtual Box you need to go to the Edit Controller Profile tab and, under the Virtual Device section, select DualShock 4 Emulation or DualSense Emulation from the dropdown menu, as shown in the image below.

Trigger Happy
Try out all Adaptive Trigger modes.
You need to go to the Edit Controller Profile tab and select the Adaptive Triggers section. In this section, you need to enable all 20 Adaptive Trigger modes one by one for either the left or right trigger.

Lights Out
Set the Light Bar brightness to 0%.
You need to go to the Edit Controller Profile tab and select the Controller LED section. Then, set the Light Bar Brightness to 0.

Light Bar Bright
Apply any of the LED modes available.
You need to go to the Edit Controller Profile tab and select the Controller LED section. In the Light Bar Mode section, choose any of the available modes (Multi Color, Breathing, Strobing, or Battery).

My Style
Create your first Controller Profile.
From the main menu, you need to select the Profiles tab and click the Create Profile button, as shown in the image below.

My Style Duplicate
Duplicate a controller profile for adjustment.
From the main menu, you need to select the Profiles tab again, then click the button with three dots next to the created profile and select Duplicate Profile, as shown in the image below.

Not Enough Configs
Create more than three Controller Profiles.
If you are following this guide from the beginning, create another profile as described in the My Style achievement, so that you have a total of three profiles.

Disco Time!
Set Multi Color LED mode to max cycle speed.
You need to go to the Edit Controller Profile tab, select the Controller LED section, choose the Multi Color mode in the Light Bar Mode section, and set the Cycle Speed to 100.

Button Architect
Remap any controller button.
You need to go to the Edit Controller Profile tab and select the Controller Mapping section. On the displayed controller, use your cursor to select the button you want to remap. Once you click on it, the button will highlight (in my case, it’s R3). Then, on the right, choose the Actions -> Button Mapping tab and, from the Insert Gamepad Button dropdown menu, select any button you want to assign to your chosen button. Click the blue "+" button (in my example, I’m remapping the R3 button to D-PAD UP).

Keep in mind, if you want to remap a different button (other than R3 as in my example), you must first deselect the current button and then choose another one on the controller. Otherwise, you might end up remapping, for example, the L3+R3 buttons to D-PAD UP. This allows you to assign a combination of buttons to a single button.

Keymaster
Map any controller button into a keyboard button.
Following the example of the Button Architect achievement, you need to go to the Edit Controller Profile tab and select the Controller Mapping section. On the displayed controller, use your cursor to select the button you want to remap. Once you click on it, the button will highlight (in my case, it’s R3). Then, on the right, choose the Actions -> Keyboard Mapping tab, click on the text "Press a key on your keyboard when I'm active.", press a key on your keyboard, and then click the blue "+" button.

Mouse Mapper
Map any controller button into a mouse button.
Similarly to the Button Architect and Keymaster achievements, you need to go to the Edit Controller Profile tab and select the Controller Mapping section. On the displayed controller, use your cursor to select the button you want to remap. Once you click on it, the button will highlight (in my case, it’s R3). This time, select the Actions -> Mouse Mapping tab on the right, choose the desired button from the Mouse buttons dropdown menu, and then click the blue "+" button.

Shortcut Master
Map any controller button into a shortcut action.
And the final remapping is for shortcuts. You need to go to the Edit Controller Profile tab and select the Controller Mapping section. On the displayed controller, use your cursor to select the button you want to remap. Once you click on it, the button will highlight (in my case, it’s R3). Then, on the right, select the Actions -> Shortcuts tab. In the Sections, choose any profile you prefer and click the blue "+" button.

Double Vision
View your installed game list.
Simply select the Installed Game List from the main menu.

Game On
Launch a game from DSX. Dive into the action directly from your customized setup!
You simply need to launch a game through the DSX application. From the main menu, go to the Installed Games tab, select a game, and click the blue Play button. Alternatively, you can just launch the DSX application.

Feel the Buzz
Use any of the available Haptic Feedback modes.
You need to go to the Edit Controller Profile tab and select the Haptic | Rumble section. From the available modes, choose Haptic Feedback Mode and specify what you want to assign it to.

Professional logger
Read all the available logs.
You need to go to the DSX Logs tab and click the blue Open Logs Directory button.

100% Nerd
Look through all the libs used in DSX.
Go to the About tab and expand the list Libraries Used in DSX.

Full Cycle
Open DSX Steam page through DSX.
Go to the About tab again and click the DSX on Steam button next to DSX Steam Page.

Go back to your roots
Enter the secret sequence on your controller.
Take the controller in your hands and input the Konami Code:
↑ ↑ ↓ ↓ ← → ← → B A START and SELECT (or ↑ ↑ ↓ ↓ ← → ← → O X START and SELECT).

Button Master/Virtuoso/Maestro/Prodigy/Legend/Titan
Achieve a monumental 1,000/10,000/50,000/100,000/500,000/1,000,000 button presses.
I decided to combine all cumulative button-press achievements into one section. I dare to assume that if you purchased this application, you are actively using it. Simply play with your controller, and the corresponding cumulative achievements will unlock naturally over time.

To have all the achievements you’ve earned appear in your Steam profile, you need to manually sync achievements by going to the Achievements section and clicking the green Sync Achievements button. Alternatively, they will unlock automatically the next time you launch the application.

Good luck earning those achievements!