Minigolf Madness works perfectly in my laptop. OpenGL 2.1 Intel HD Graphics Integrated Windows 8.1 64-bit. So I guess it's not adapted for newer/modern computers yet.

My Graphic card is Amd E2.
Edit: R2 to E2

Same, doesn't work on a 64-bit Windows 7. Launched fine in 32-bit WinXP

@ VADemon:Me use a Windows 10.
Wait, i try...
It`s not work.

It is work on my PC,
Intel HD,Windows 7,32bit.

Maybe this game only support 32bit.

@ sonkii: doubled post, it have been explained by MikuAuahDark, and VADemon.
You post useless / doubled / wrong information- post these days, really, you should stop these shits right now, now look at Masea post carefully until you understand.
I am not alone, I am not the only one who hates your lesson.

If you think that your reply is not helpful well, then don't post it. Check other reply too, avoiding doubled posts.

@ kerker: It seem you have no choices,unless downgrade your PC or download 32bit modules.

*Ahem*

Follow Mami Tomoe's guide below.

I only tested it a few years ago but I still have the same PC and it works at:
Windows 7 Home Premium 64bit with Intel HD Graphics Family

Now now guys try to install the things listed below:
This will install all missing DirectX files, I don't think it supports Windows 10 but you can give it a shot: Pleasure me
Install this and try again I guess...
Also check for updates on windows update and run a full registry scan with CCleaner it might help

Looking from some people replies, I guess the game isn't compatible with high-end GPUs which is totally strange, lol.

@ sonkii: Thanks for commenting.

Since I have both my normal GPU and iGPU working, I decided to take out the GPU and try to run the game just on the CPU (many people reported that it worked on Intel HD Graphics): The game crashed nevertheless.
This has shown me that it has nothing to do with the working graphics card.

The next moment I remembered that I had forcibly turned on a Windows security setting which sets advanced memory restrictions for applications: DEP.

How to make the game start again™
Add minigolf.exe to the DEP Exclusion list or turn this feature off for 3rd party programs.
Video: https://youtu.be/mcidGf43_-o

Why did this happen?
Young DarkCorner didn't know that executable code cannot/shouldn't be in the data area of memory (and by the way, this feature was new back then).

Minigolf Madness doesn't do anything special. It's rather a Blitz Basic problem then I guess

@ VADemon: "Hurray!!" - Could I say, but your method is not working.
@ DC: Maybe.I hope it will be possible to solve.