Wayne Gretzky has collected the most career points when taking 20+ shots, with 2,857 points.

Interpreted as:

most points by a player scored on 20 or more shots

NAME	P	S	GP	G	A	+/-	PIM	PPG	PPA	SHG	SHA	GWG	OTG	S%	TOI/GP
Wayne Gretzky	2,857	5,088	1,487	894	1,963	+520	577	204	686	73	76	91	2	17.6
Jaromir Jagr	1,921	5,637	1,733	766	1,155	+322	1,167	217	393	11	4	135	19	13.6	19:53
Mark Messier	1,887	4,221	1,756	694	1,193	+211	1,912	179	402	63	81	92	8	16.4	18:47
Ron Francis	1,798	3,756	1,731	549	1,249	-18	977	188	539	12	19	79	4	14.6	19:41
Marcel Dionne	1,771	5,363	1,348	731	1,040	+27	600	234	409	19	11	73	2	13.6
Steve Yzerman	1,755	4,602	1,514	692	1,063	+184	924	202	393	50	33	94	9	15.0	18:38
Mario Lemieux	1,723	3,633	915	690	1,033	+114	834	236	465	49	22	74	11	19.0	22:40
Joe Sakic	1,641	4,621	1,378	625	1,016	+30	614	205	426	32	17	86	7	13.5	21:09
Sidney Crosby	1,596	4,072	1,272	592	1,004	+217	823	172	388	4	7	90	21	14.5	20:41
Phil Esposito	1,590	5,166	1,282	717	873	+252	910	246	303	23	12	118		13.9
Ray Bourque	1,579	6,209	1,612	410	1,169	+527	1,141	173	588	16	28	60	5	6.6	26:38
Alex Ovechkin	1,550	6,627	1,426	853	697	+45	817	312	269	5	1	129	26	12.9	20:45
Joe Thornton	1,539	3,068	1,714	430	1,109	+182	1,272	146	402	6	6	68	9	14.0	19:18
Mark Recchi	1,533	3,820	1,652	577	956	0	1,033	200	369	18	14	91	6	15.1	18:53
Paul Coffey	1,531	4,389	1,409	396	1,135	+298	1,802	135	529	20	31	43	1	9.0	21:50
Stan Mikita	1,466	4,482	1,393	541	925	+329	1,260	150	312	12	6	84		12.1
Teemu Selanne	1,457	4,540	1,451	684	773	+95	660	255	333	7	2	110	9	15.1	17:56
Bryan Trottier	1,425	2,841	1,279	524	901	+449	912	161	262	19	20	69	1	18.4
Adam Oates	1,420	2,392	1,337	341	1,079	+33	415	103	410	12	23	56	5	14.3	20:00
Doug Gilmour	1,414	2,834	1,474	450	964	+129	1,301	153	335	18	26	56	3	15.9	18:20
Dale Hawerchuk	1,409	3,754	1,188	518	891	-98	740	182	386	12	11	49	4	13.8
Jari Kurri	1,398	3,149	1,251	601	797	+304	545	155	240	39	43	72	7	19.1
Luc Robitaille	1,394	3,961	1,431	668	726	+71	1,177	247	260	3	3	89	7	16.9	15:57
Brett Hull	1,391	4,876	1,269	741	650	+23	458	265	271	20	8	110	12	15.2	18:01
Mike Modano	1,374	4,273	1,499	561	813	+114	926	157	336	29	18	92	9	13.1	19:41