How can I cache objects in ASP.NET MVC?

You can still use the cache (shared among all responses) and session (unique per user) for storage.

I like the following “try get from cache/create and store” pattern (c#-like pseudocode):

public static class CacheExtensions
{
  public static T GetOrStore<T>(this Cache cache, string key, Func<T> generator)
  {
    var result = cache[key];
    if(result == null)
    {
      result = generator();
      cache[key] = result;
    }
    return (T)result;
  }
}

you’d use this like so:

var user = HttpRuntime
              .Cache
              .GetOrStore<User>(
                 $"User{_userId}", 
                 () => Repository.GetUser(_userId));

You can adapt this pattern to the Session, ViewState (ugh) or any other cache mechanism. You can also extend the ControllerContext.HttpContext (which I think is one of the wrappers in System.Web.Extensions), or create a new class to do it with some room for mocking the cache.