Tristram Speaker had the most games when hitting 1+ single with >0 doubles, with 401 games.

Interpreted as:

most regular-season games with 1 or more single ans 1 double by a player

	NAME	G	1B	2B	AB	R	H	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Tristram Speaker T. Speaker	401	524	446	1,664	463	1,003	21	12		173	14		81		1,895	1,527	479	44				.603	.643	.918	1.561
2	Pete Rose P. Rose	387	529	432	1,745	433	984	10	13	288	135	11	77	23	15	1,902	1,475	455	4	7	12	18	.564	.595	.845	1.441
3	Ty Cobb T. Cobb	351	502	388	1,501	445	924	19	15		132	5		126		1,662	1,395	422	24				.616	.648	.929	1.577
4	Stan Musial S. Musial	327	443	352	1,384	351	850	22	33	313	121	8	47	16	2	1,518	1,345	407	1	4	4	20	.614	.645	.972	1.617
5	Derek Jeter D. Jeter	318	427	331	1,432	384	785	4	23	231	90	15	157	52	14	1,552	1,193	358	10	5	3	28	.548	.577	.833	1.410
6	Paul Waner P. Waner	314	418	340	1,370	382	799	27	14	293	98	6	32	17		1,493	1,235	381	19			5	.583	.613	.901	1.514
7	Craig Biggio C. Biggio	312	402	338	1,360	362	773	7	26	244	94	27	140	57	14	1,498	1,203	371	7	10	5	8	.568	.600	.885	1.484
8	Paul Molitor P. Molitor	301	408	326	1,330	377	767	14	19	237	84	5	98	80	16	1,438	1,178	359	5	14	9	15	.577	.597	.886	1.483
9	Tony Gwynn T. Gwynn	300	409	326	1,306	281	756	7	14	246	63	0	31	47	14	1,384	1,138	347	2	13	22	12	.579	.593	.871	1.464
10	Albert Pujols A. Pujols	297	381	317	1,273	340	744	3	43	345	97	6	89	14	4	1,387	1,196	363	0	11	22	27	.584	.611	.940	1.550
11	George Brett G. Brett	297	406	323	1,285	302	761	14	18	270	102	0	69	39	23	1,395	1,166	355	1	7	26	16	.592	.619	.907	1.526
12	Wade Boggs W. Boggs	295	404	321	1,271	350	753	13	15	243	152	1	77	4	3	1,440	1,145	349	4	12	23	20	.592	.631	.901	1.532
13	Rogers Hornsby R. Hornsby	285	365	321	1,182	328	734	15	33		119	5	58	28		1,328	1,184	369	22				.621	.657	1.002	1.659
14	Al Simmons A. Simmons	281	384	307	1,265	359	735	12	32	416	70	8	47	17		1,356	1,162	351	13			0	.581	.605	.919	1.524
15	Joe Medwick J. Medwick	276	365	307	1,207	291	704	15	17	326	48	1	47	12		1,259	1,092	339	3			8	.583	.600	.905	1.504
16	Charlie Gehringer C. Gehringer	276	369	312	1,238	387	716	10	25	324	120	5	32	30		1,376	1,123	347	13			1	.578	.617	.907	1.524
17	Sam Rice S. Rice	273	393	291	1,243	324	707	18	5		68	4	28	63		1,337	1,049	314	22				.569	.592	.844	1.436
18	Robin Yount R. Yount	272	339	296	1,174	275	664	7	22	228	53	2	89	30	17	1,246	1,040	325	12	5	8	16	.566	.583	.886	1.469
19	Carl Yastrzemski C. Yastrzemski	272	355	294	1,126	268	676	7	20	258	102	0	59	15	5	1,235	1,044	321	3	4	19	15	.600	.631	.927	1.559
20	Eddie Murray E. Murray	268	331	287	1,119	250	643	2	23	279	98	3	92	12	4	1,230	1,003	312	0	10	22	14	.575	.605	.896	1.501
21	Ivan Rodriguez I. Rodriguez	267	342	303	1,187	294	672	6	21	259	46	2	95	22	9	1,246	1,050	330	6	5	6	37	.566	.581	.885	1.465
22	Hank Aaron H. Aaron	265	334	283	1,138	282	655	7	31	283	86	4	84	32	8	1,235	1,045	321	3	4	23	27	.576	.605	.918	1.523
23	Miguel Cabrera M. Cabrera	263	334	290	1,112	252	665	0	41	343	81	4	132	3	1	1,209	1,078	331	0	12	21	24	.598	.620	.969	1.590
24	Cal Ripken Jr. C. Ripken Jr.	263	333	283	1,139	264	653	5	32	243	68	5	62	5	4	1,224	1,042	320	0	12	6	24	.573	.593	.915	1.508
25	Adrian Beltre A. Beltre	262	328	283	1,101	234	645	7	27	253	55	5	97	14	6	1,171	1,023	317	0	10	9	9	.586	.602	.929	1.531