Antonyms for the word "amuses oneself with" would include phrases such as "bores oneself with," "frowns upon," "dislikes," "shuns," "avoids," and "ignores." These terms all imply a lack of pleasure or interest in a particular activity or subject. For example, someone who bores themselves with a certain hobby may find it unstimulating or unfulfilling, while someone who frowns upon a particular form of entertainment may find it distasteful or offensive. Similarly, someone who dislikes or shuns a particular activity or subject may actively avoid it, while someone who ignores it may simply pay it no attention.