Dwight Evans has the most career games by a Red Sox draft pick, with 2,606 games.

Interpreted as:

most regular-season games played red sox draft picks

	NAME	G	AB	R	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS	wRC	WRAA	wOBA	wRC+	BRAA
1	Dwight Evans D. Evans	2,606	8,996	1,470	2,446	483	73	385	1,384	1,391	53	1,697	78	59	10,569	4,230	941	52	77	60	227	.272	.370	.470	.840	1640	459.6	.375	129	357.7
2	Wade Boggs W. Boggs	2,439	9,180	1,513	3,010	578	61	118	1,014	1,412	23	745	24	35	10,740	4,064	757	29	96	180	236	.328	.415	.443	.858	1746	493.9	.381	132	411
3	Jeff Bagwell J. Bagwell	2,150	7,797	1,517	2,314	488	32	449	1,529	1,401	128	1,558	202	78	9,431	4,213	969	3	102	155	221	.297	.408	.540	.948	1755	596.6	.405	149	588.3
4	Jim Rice J. Rice	2,089	8,225	1,249	2,452	373	79	382	1,451	670	64	1,423	58	34	9,058	4,129	834	5	94	77	315	.298	.352	.502	.854	1410	394.2	.375	128	300.2
5	Tino Martinez T. Martinez	2,023	7,111	1,009	1,925	365	21	339	1,271	780	59	1,069	27	20	8,044	3,349	725	14	80	102	191	.271	.344	.471	.815	1126	132.8	.350	110	108.3
6	Amos Otis A. Otis	1,998	7,299	1,092	2,020	374	66	193	1,007	757	33	1,008	341	93	8,246	3,105	633	54	103	53	158	.277	.343	.425	.768	1073	172.2	.345	115	132.8
7	Fred Lynn F. Lynn	1,969	6,925	1,063	1,960	388	43	306	1,111	857	30	1,116	72	54	7,923	3,352	737	25	86	77	149	.283	.360	.484	.845	1215	326.8	.372	129	268.5
8	Cecil Cooper C. Cooper	1,896	7,349	1,012	2,192	415	47	241	1,125	448	17	911	89	49	7,939	3,424	703	46	79	79	150	.298	.337	.466	.803	1096	206.1	.353	119	176.6
9	Mark Teixeira M. Teixeira	1,862	6,936	1,099	1,862	408	18	409	1,298	918	111	1,441	26	7	8,029	3,533	835	0	64	91	158	.268	.360	.509	.869	1268	317.6	.371	127	262.4
10	Brady Anderson B. Anderson	1,834	6,499	1,062	1,661	338	67	210	761	960	154	1,190	315	100	7,737	2,763	615	74	50	59	65	.256	.362	.425	.787	1077	136.4	.350	110	109.4
11	Ben Oglivie B. Oglivie	1,754	5,913	784	1,615	277	33	235	901	560	35	852	87	70	6,598	2,663	545	21	69	105	122	.273	.336	.450	.786	874	141.7	.346	116	119.8
12	Anthony Rizzo A. Rizzo	1,727	6,288	922	1,644	338	22	303	965	781	222	1,208	72	44	7,336	2,935	663	0	45	75	149	.261	.361	.467	.828	1103	246.1	.356	125	223.8
13	Pat Burrell P. Burrell	1,640	5,503	767	1,393	299	16	292	976	932	31	1,564	7	3	6,520	2,600	607	0	54	53	119	.253	.361	.472	.834	970	174.8	.360	117	143.8
14	Charlie Blackmon C. Blackmon	1,624	6,165	996	1,805	334	68	227	801	485	110	1,142	148	59	6,825	2,956	629	26	39	35	73	.293	.353	.479	.832	1032	231.2	.356	109	80.6
15	Dave Magadan D. Magadan	1,582	4,159	516	1,197	218	13	42	495	718	12	546	11	11	4,963	1,567	273	24	50	46	98	.288	.390	.377	.767	682	95.4	.349	117	101.4
16	Mookie Betts M. Betts	1,531	6,083	1,166	1,767	394	41	291	913	736	52	924	196	41	6,936	3,116	726	4	61	35	86	.290	.369	.512	.881	1158	334.4	.374	136	307
17	Dustin Pedroia D. Pedroia	1,512	6,031	922	1,805	394	15	140	725	624	38	654	138	46	6,777	2,649	549	25	59	25	154	.299	.365	.439	.805	962	175.7	.352	115	120
18	Mo Vaughn M. Vaughn	1,512	5,532	861	1,620	270	10	328	1,064	725	108	1,429	30	18	6,410	2,894	608	0	45	144	136	.293	.383	.523	.906	1090	296	.387	129	246.2
19	Rick Miller R. Miller	1,482	3,887	552	1,046	161	35	28	369	454	16	583	78	65	4,440	1,361	224	60	23	23	68	.269	.346	.350	.696	496	6	.320	95	-24.9
20	Nomar Garciaparra N. Garciaparra	1,434	5,586	927	1,747	370	52	229	936	403	59	554	95	31	6,116	2,908	651	5	63	54	129	.313	.361	.521	.882	989	228.3	.376	124	194.6
21	Brandon Belt B. Belt	1,413	4,729	681	1,232	290	36	194	627	678	48	1,346	47	21	5,483	2,176	520	1	27	36	64	.261	.357	.460	.817	805	162.3	.352	125	166.3
22	Ernie Whitt E. Whitt	1,328	3,774	447	938	176	15	134	534	436	4	491	22	26	4,271	1,546	325	20	37	43	97	.249	.324	.410	.734	507	25.1	.326	98	-10.1
23	Scott Hatteberg S. Hatteberg	1,314	4,226	538	1,153	249	7	106	527	562	42	503	3	8	4,876	1,734	362	15	31	27	117	.273	.361	.410	.772	649	47.3	.341	104	26
24	David Eckstein D. Eckstein	1,311	5,041	701	1,414	232	20	35	392	376	143	418	123	45	5,705	1,791	287	106	39	3	88	.280	.345	.355	.701	636	-57.9	.316	92	-59.5
25	Yasmani Grandal Y. Grandal	1,307	4,138	535	977	183	7	194	592	679	26	1,124	13	7	4,885	1,756	384	6	36	11	126	.236	.345	.424	.769	657	80.3	.335	112	75