What do I need to make XNA Framework games run on other computers?

Rest assured that XNA Framework games will run on Windows XP, Vista and 7 as long as you have the correct dependencies installed and all your content in the right place. Its VERY unlikely to be a bug so please check everything very carefully before asking.

For games built with the 1.0 XNA Framework:

.NET Framework 2.0 - included as an OS component on Vista so not required to install there.
DirectX 9.0c *See note below
XNA Framework Redistributable 1.0

For games built with the 2.0 XNA Framework:

.NET Framework 2.0 PLUS the C++ 2005 SP1 Redist -OR- .NET Framework 2.0 SP1
Some notes on these dependencies:
The .NET Framework 2.0 is included as an OS component on Windows Vista and Windows Server 2008, so you only need the C++ Redist for these operating systems.
The .NET Framework 2.0 SP2 is included as an OS component on Windows 7, so you do not need to install the .NET Framework 2.0 or the C++ redist for this operating system.
The standalone .NET Framework 2.0 SP1 installer will not run on Windows Vista/7 - you must install 2.0 SP1 bits by installing either Vista SP1 or the .NET Framework 3.5.
You may have either of these 2 already installed by other applications on your system (such as Visual Studio 2005 SP1 or the Games For Windows - LIVE Redistributable), but don't rely on them already being installed if you are writing an installer.
DirectX 9.0c *See note below
XNA Framework Redistributable 2.0
Games that create a GamerServicesComponent/use live networking REQUIRE a full XNA Game Studio 2.0 install. The Games for Windows - LIVE Redistributable is NOT sufficient since there are non-redistributable components in XNA Game Studio 2.0 that are required. This will also satisfy the VC++ 2005 SP1 redist requirement, you don't need both.

For games built with 3.0 XNA Framework:

.NET Framework 2.0 or .NET Framework 3.5, depending on whether or not your game uses .NET 3.5 features. Note that the .NET Framework 2.0 is included as an OS component on Windows Vista and Windows Server 2008, and the .NET Framework 2.0, 3.0 and 3.5 are included as OS components on Windows 7.
XNA Framework Redistributable 3.0 - the C++ redist and the relevant DirectX components are included in the XNA Framework Redistributable 3.0 and do not need to be installed separately.
Games that create a GamerServicesComponent/use live networking REQUIRE a full XNA Game Studio 3.0 install (see this thread). The Games for Windows - LIVE Redistributable is NOT sufficient since there are non-redistributable components in XNA Game Studio 3.0 that are required.

For games built with 3.1 XNA Framework:

.NET Framework 2.0 or .NET Framework 3.5, depending on whether or not your game uses .NET 3.5 features. Note that the .NET Framework 2.0 is included as an OS component on Windows Vista and Windows Server 2008, and the .NET Framework 2.0, 3.0 and 3.5 are included as OS components on Windows 7.
XNA Framework Redistributable 3.1 - the C++ redist and the relevant DirectX components are included in the XNA Framework Redistributable 3.1 and do not need to be installed separately.
Games that create a GamerServicesComponent/use live networking REQUIRE a full XNA Game Studio 3.1 install (see this thread). The Games for Windows - LIVE Redistributable is NOT sufficient since there are non-redistributable components in XNA Game Studio 3.1 that are required.

For games built with 4.0 XNA Framework:

.NET Framework 4 Client Profile or .NET Framework 4 Full, depending on whether or not your game uses features that are in Full but not Client.
XNA Framework Redistributable 4.0 - the C++ redist and the relevant DirectX components are included in the XNA Framework Redistributable 4.0 and do not need to be installed separately.
Games that create a GamerServicesComponent/use live networking REQUIRE a full XNA Game Studio 4.0 install (see this thread). The Games for Windows - LIVE Redistributable is NOT sufficient since there are non-redistributable components in XNA Game Studio 4.0 that are required.

You do NOT need to install Visual C# Express, Visual Studio or XNA Game Studio unless you require any of the following:

2.0, 3.0, 3.1 or 4.0 games using GamerServices or Microsoft.Xna.Framework.Net.*
XnaPack utility to create and/or deploy .ccgame packages
Runtime usage of content pipeline creation components (such as in the WinForms samples)

Может, дело в системе? У меня xp, а у них 7.

Научные и жизненные законы – это каскад переходящих друг в друга все более всеобъемлющих концептуальных схем. Когда вы стоите на земле, то считается, вы неподвижны. Но если наблюдать за вами из космоса, то можно увидеть, что Земля вращается вокруг своей оси, и вы вместе с ее поверхностью перемещаетесь со скоростью тысяча километров в час. А если перейти на более высокую систему, то можно увидеть, как Земля летает вокруг Солнца, и вы движетесь вместе с ней уже со скоростью более 30 километров в секунду. А солнечная система движется по галактике. Тогда вы летите со скоростью нескольких тысяч километров в секунду. И так далее. Вся ваша картина мира зависит о того, откуда смотреть.
И то, что невозможно было объяснить наблюдателю с Земли, становится видно тому, кто смотрит из космоса

"Если религия(1) без науки слепа, то наука без веры(2) хромает на обе ноги"

Думаешь Фурсенко это остановит? Он уже мстит системе образования за то, что сам его не получил. А как это можно сделать эффективней, чем приказав брать за обучение плату, превышающую возможности большинства населения?

Где я такое говорил?Я говорил, что не отношу к С-подобным языкам, а это- разные понятия.

P.S В теме не нужно стрелять своими фекалиями, так что пишем по теме

Языки: Lua, Python, C#
Опыт работы: ~5 лет

Опыт работы - это опыт работы, а не срок обучения и т.п.