Emphasis on his role as King of the Underworld:
* Rule: He rules, reigns, governs, presides over the Underworld.
* Judge: He judges, condemns, sentences, and punishes souls.
* Receive: He receives, welcomes (sometimes reluctantly), and accepts the dead.
* Guard: He protects, guards, and secures the borders of his realm.
Emphasis on his personality:
* Demand: He demands, requires, and expects respect and obedience.
* Threaten: He threatens, intimidates, and warns those who cross him.
* Mourn: He mourns, grieves, and laments the loss of Persephone (depending on the interpretation).
* Love: He loves, desires, and cherishes Persephone.
* Fear: He inspires fear, dread, and awe.
Other possibilities:
* Condemn: He condemns, punishes, or sentences the wicked.
* Abduct: He abducted Persephone (though some portray it as a marriage rather than a kidnapping).
* Seize: He seizes, takes, or claims the souls of the dead.
The best verbs to use will depend on the specific context and the aspect of Hades you want to highlight.