Synonyms for Lawful (same or very similar meaning)
WordNet sense 1 (according to custom or rule or natural law):
orderly, rule-governed
WordNet sense 2 (in accordance with fixed order or procedure or principle):
regular
WordNet sense 3 (having a legally established claim):
rightful, true
WordNet sense 4 (of marriages and offspring; recognized as lawful):
legitimate, legitimate
WordNet sense 5 (authorized, sanctioned by, or in accordance with law):
licit
WordNet sense 6 (established by or founded upon law or official or accepted rules):
legal
From the ODE community, based on WordNet
add/edit