Dell Studio XPS 8100
Windows 7, 64 bits
Intel i7 2.9 GHz
8 Gb RAM
ATI Radeon HD 5700

Just installed Blitzkrieg. Set on highest settings and definition. Tried tutorials :

- Got some inelegant flickering, flashing landscapes. Especially as I first scrolled over them. May get used to it.

- Got a case of stuttering sound near the end of second tutorial, followed by game freeze, and ctrl-alt-tab termination of it. May not get used to it.

Isolated case ?

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Edit : Crash not reproduced. Flickering systematic at the start of every tutorial. I scroll over the whole map, in order to trigger it once everywhere. After that it seems okay when I come back to each area. So. Well. So. There.

I don't have any problem with the game. No stuttering, freezes,crashes or sound problems. My present computer isn't very powerful but the game runs smoothly on it all maxed out.
You could try a lower resolution ... try playing with AA and Vertical sync ... see if the problem goes away. Are you running it in Compatability mode in XP sp3. I have had a few games that ALMOST ran good but ran better in XP setting. Is it just the tutorial with the problems? Does the game play alright after the tutorial?
Windows 7 Home Premium 64-bit (6.1, Build 7601) Service Pack 1
Pentium(R) Dual-Core CPU E5800 @ 3.20GHz (2 CPUs), ~3.2GHz
Memory : 3072MB RAM
Intel(R) G41 Express Chipset