门部首的所有汉字 "All" characters with the gate radical

In principle we could form a new character from ANY of the hanzi plus gate. There are in theory an infinite number of Chinese characters. Example? Insect 虫 + gate 门　= the aperture to a hive (which would likely sound like g/h/k o/a n/ng

At least 52 gate characters are recorded in common dictionaries. 

门	mén,	gate	闩	shuān,	bolt
闪	shǎn,	flash	闫	yán,	a name
闬	hàn,	villagegate	闭	bì,	block
问	wèn,	ask	闯	chuǎng,	rush
闰	rùn,	leap day	闱	wéi,	woman's room door;  palace gate
闲	xián,	rest	闳	hóng,	big; gate
间	jiàn,jiān,	space	闵	mǐn,	a name
闶	kàng,	open space in a structure	闷	mèn,mēn,	stuffy
闸	zhá,	gear, sluice	闹	nào,	noisy
闺	guī,	lady's cahmber	闻	wén,	listen
闼	tà,	inner door	闽	mǐn,	a name
闾	lǘ,	village gate	闿	kǎi,	loosen, open
阀	fá,	powerful clique/family	阁	gé,	pavillion, political cabinet, boudoir
阂	hé,	obstruct	阃	kǔn,	threshold, inner apartments, wife
阄	jiū,	lotto lot, straw, stick	阅	yuè,	read
阆	làng,	lofty	阇	dū,shé,	defensive platform over a gate, barbican
阈	yù,	threshold	阉	yān,	castrate
阊	chāng,	palace gate of heaven	阋	xì,	quarrel argue
阌	wén,	place name	阍	hūn,	door-keeper
阎	yán,	village gate, a name	阏	ě,yān,	block restrain control
阐	chǎn,	express, disclose	阑	lán,	railing balustrate
阒	qù,	quiet live alone	阓	huì,	market-gate
阔	kuò,	broad	阕	què,
阖	hé,	door, to close, whole	阗	tián,
阘	tà,	upper story window	阙	jué,què,quē,
阚	kàn,	glance peep	阛	huán,