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What do you think is wrong or outdated with the article? It's not that far off how ANN are described in the beginning of current scientific articles. Backpropagation is definitely still relevant even though changes can be made to it and the networks have grown in size and changed in layout. The basics are more or less the same and from my quick scan they seem accurately described here. What is it you expect from a simple intro?

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While I don't share his total disdain for the article, he got the date spot on, and I'd say that

- no mention of non-sigmoid activation functions - calling overfitting 'grandmothering' and - diving comparatively deep into gradient descent (which while absolutely the most common, is not the only way to train a neural network), while being an inch deep on practically every other aspect.

Its a bit of a confused intro that simultaneously tries to teach you the basics while throwing jargon at you ('delta-rule', 'beta-coefficient', 'hyperparaboloid', etc.).

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