I will use this thread to post the most commonly selected players in each draft.

League #1
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Player	..	Seasons	..	Total Salary	..	Avg Salary
Delahanty, Ed		10		91,186,991		9,118,699
Lajoie, Nap		9		75,845,750		8,427,306
Hamilton, Billy		8		68,220,749		8,527,594
Wagner, Honus		8		62,034,978		7,754,372
McGraw, John		8		40,466,578		5,058,322
Young, Cy		7		99,061,073		14,151,582
Davis, George		7		42,061,692		6,008,813
Waddell, Rube		6		56,556,481		9,426,080
Brouthers, Dan		6		28,367,925		4,727,988

League #2
.

Player	..	Seasons	..	Total Salary	..	Avg Salary
Cobb, Ty		13		122,919,857		9,455,374
Speaker, Tris		11		90,259,725		8,205,430
Johnson, Walter		10		152,495,224		15,249,522
Jackson, Joe		10		58,199,143		5,819,914
Collins, Eddie		8		59,607,284		7,450,911
Wagner, Honus		8		53,287,011		6,660,876
Baker, Frank		7		43,448,713		6,206,959
Lajoie, Nap		7		39,487,475		5,641,068

League #3
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Player	..	Seasons	..	Total Salary	..	Avg Salary
Ruth, Babe		12		169,059,007		14,088,251
Hornsby, Rogers		11		111,462,023		10,132,911
Frisch, Frankie		8		54,760,899		6,845,112
Gehrig, Lou		7		74,417,072		10,631,010
Simmons, Al		7		59,194,829		8,456,404
Grove, Lefty		6		54,644,024		9,107,337
Vance, Dazzy		6		53,755,576		8,959,263
Foxx, Jimmie		6		52,288,235		8,714,706
Speaker, Tris		6		51,406,665		8,567,778
Heilmann, Harry		6		44,441,291		7,406,882
Collins, Eddie		6		37,813,842		6,302,307
Cochrane, Mickey		6		36,654,851		6,109,142

League #4
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Player	..	Seasons	..	Total Salary	..	Avg Salary
Vaughan, Arky		9		61,130,025		6,792,225
DiMaggio, Joe		7		59,787,249		8,541,036
Greenberg, Hank		7		50,499,932		7,214,276
Gehringer, Charlie		7		50,166,640		7,166,663
Ott, Mel		7		48,103,865		6,871,981
Mize, Johnny		7		47,182,526		6,740,361
Foxx, Jimmie		6		52,625,788		8,770,965
Dickey, Bill		6		33,036,530		5,506,088
Appling, Luke		6		32,461,839		5,410,307

League #5
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Player	..	Seasons	..	Total Salary	..	Avg Salary
Williams, Ted		12		98,338,815		8,194,901
Musial, Stan		11		96,375,742		8,761,431
Mantle, Mickey		7		71,106,558		10,158,080
Mays, Willie		6		55,858,638		9,309,773
Snider, Duke		6		49,699,271		8,283,212
Ashburn, Richie		6		46,916,905		7,819,484
Robinson, Jackie		6		39,830,435		6,638,406
Berra, Yogi		6		34,554,443		5,759,074

League #6
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Player	..	Seasons	..	Total Salary	..	Avg Salary
Aaron, Hank		9		67,548,970		7,505,441
Robinson, Frank		9		60,870,554		6,763,395
Wilhelm, Hoyt		8		30,836,238		3,854,530
Mays, Willie		7		59,501,624		8,500,232
Mantle, Mickey		6		38,428,071		6,404,679
Koufax, Sandy		5		58,810,956		11,762,191
Gibson, Bob		5		55,394,830		11,078,966
Marichal, Juan		5		45,770,104		9,154,021
Yastrzemski, Carl		5		35,986,294		7,197,259
Rose, Pete		5		35,475,054		7,095,011
Torre, Joe		5		33,096,758		6,619,352
McCovey, Willie		5		30,794,809		6,158,962

Since we're halfway through round 1, I thought I'd post some other stats...

Salary (in millions)
.

Owner___________	Lg01____	Lg02____	Lg03____	Lg04____	Lg05____	Lg06____	Total
njbigwig	199.6	127.6	159.6	169.1	136.8	159.7	158.7
mllama54	170.4	162.8	138.0	150.0	154.9	154.0	155.0
pedrocerrano	206.4	130.8	147.4	145.5	146.0	133.7	151.6
kstober	135.6	139.5	142.5	145.5	163.5	156.0	147.1
DarthDurron	169.9	170.5	138.6	129.3	128.1	145.4	146.9
footballmm11	146.8	162.4	166.3	145.5	129.8	127.5	146.4
schwarze	134.3	150.6	173.4	124.9	144.4	137.5	144.2
calhoop	150.2	156.2	142.3	147.2	126.6	140.1	143.8
Jtpsops	152.5	128.0	160.9	132.6	139.4	139.3	142.1
bigsteve12	137.4	138.4	141.1	137.6	149.3	139.2	140.5
chewy3344	113.6	125.3	179.9	127.3	127.5	139.3	135.5
3dayrotation	134.5	129.0	135.7	135.5	149.9	125.6	135.0
thejuice6	131.2	128.1	163.6	122.6	128.0	123.7	132.9
eblankenstei	132.6	128.2	135.3	129.9	128.1	119.4	128.9
nocomm999	128.9	125.5	142.3	122.5	121.3	125.1	127.6
ronthegenius	119.9	138.6	138.1	127.3	116.5	122.0	127.1
.
Average	147.7	140.1	150.3	137.0	136.9	136.7	141.5

Percent of Average...
.

Owner___________	Lg01____	Lg02____	Lg03____	Lg04____	Lg05____	Lg06____	Total
njbigwig	135%	91%	106%	123%	100%	117%	112%
mllama54	115%	116%	92%	110%	113%	113%	110%
pedrocerrano	140%	93%	98%	106%	107%	98%	107%
kstober	92%	100%	95%	106%	119%	114%	104%
DarthDurron	115%	122%	92%	94%	94%	106%	104%
footballmm11	99%	116%	111%	106%	95%	93%	103%
schwarze	91%	107%	115%	91%	106%	101%	102%
calhoop	102%	111%	95%	107%	93%	102%	102%
Jtpsops	103%	91%	107%	97%	102%	102%	100%
bigsteve12	93%	99%	94%	100%	109%	102%	99%
chewy3344	77%	89%	120%	93%	93%	102%	96%
3dayrotation	91%	92%	90%	99%	109%	92%	95%
thejuice6	89%	91%	109%	89%	94%	90%	94%
eblankenstei	90%	92%	90%	95%	94%	87%	91%
nocomm999	87%	90%	95%	89%	89%	91%	90%
ronthegenius	81%	99%	92%	93%	85%	89%	90%

Divisions
.

Owner___________	Lg01____	Lg02____	Lg03____	Lg04____	Lg05____	Lg06____
njbigwig	NLE	ALW	NLW	NLE	NLW	NLE
mllama54	NLE	NLE	ALW	NLE	NLE	NLE
pedrocerrano	NLE	ALE	NLW	NLW	NLW	ALE
kstober	ALE	NLW	NLW	NLW	NLE	NLE
DarthDurron	NLE	NLE	ALE	ALE	ALE	NLE
footballmm11	NLW	NLE	NLE	NLE	ALE	ALE
schwarze	ALE	NLW	NLE	ALW	NLW	ALE
calhoop	NLW	NLE	ALE	NLE	ALW	NLW
Jtpsops	NLW	ALW	NLW	ALE	NLW	NLW
bigsteve12	NLW	NLW	ALE	NLW	NLE	NLW
chewy3344	ALW	ALW	NLE	ALW	ALW	NLW
3dayrotation	ALE	ALE	ALW	NLW	NLE	ALE
thejuice6	ALW	ALE	NLE	ALW	ALE	ALW
eblankenstei	ALE	ALE	ALW	ALE	ALE	ALW
nocomm999	ALW	ALW	ALE	ALW	ALW	ALW
ronthegenius	ALW	NLW	ALW	ALE	ALW	ALW

this is cool

League #7
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Player	..	Seasons	..	Total Salary	..	Avg Salary
Morgan, Joe		7		54,333,626		7,761,947
Carew, Rod		7		49,047,278		7,006,754
Concepcion, Dave		6		29,787,454		4,964,576
Seaver, Tom		5		48,606,333		9,721,267
Schmidt, Mike		5		35,739,420		7,147,884
Rose, Pete		5		33,391,108		6,678,222
Simmons, Ted		5		31,233,689		6,246,738
Stargell, Willie		5		26,102,250		5,220,450
Fisk, Carlton		5		25,567,060		5,113,412
Smith, Reggie		5		23,465,439		4,693,088

League #8
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Player	..	Seasons	..	Total Salary	..	Avg Salary
Boggs, Wade		7		52,751,202		7,535,886
Raines, Tim		6		44,700,655		7,450,109
Henderson, Rickey		6		39,862,462		6,643,744
Brett, George		5		39,938,838		7,987,768
Schmidt, Mike		5		37,451,548		7,490,310
Gossage, Rich		5		17,075,938		3,415,188

The average draft position is 8.5, so after enough trials, I would expected most people would have an average between 7.5 and 9.5. And in fact, of those who have participated in the majority of drafts, only two are outside that range. Yep - I have been very lucky on the draws. DarthDurron has drawn pick #16 three in a row, after not picking outside of the top 7 in the first six drafts. kstober needs some draft luck.
.

Owner	Leag 1	Leag 2	Leag 3	Leag 4	Leag 5	Leag 6	Leag 7	Leag 8	Leag 9	Avg
kstober	15	1	5	14	8	14	8	13	14	10.2
footballmm11	8	6	13	15	13	1	6	12	11	9.4
ff09							10	3	15	9.3
njbigwig	1	13	9	10	15	13	2	11	9	9.2
bigsteve12	6	10	11	7	3	15	9	10	12	9.2
nocomm999	4	16	10	11	5	16			2	9.1
eblankenstei	11	11	12	2	14	9	5			9.1
3dayrotation	10	14	15	9	2	10	13	7	1	9.0
ronthegenius	2	4	16	6	9	12	12	15	4	8.9
calhoop	14	5	3	13	4	6	14	8	10	8.6
DarthDurron	7	7	1	3	6	3	16	16	16	8.3
mllama54	16	3	8	8	7	5	4	9	13	8.1
mpitt76							11	5		8.0
chewy3344	5	15	6	16	11	7	1	6	5	8.0
Jtpsops	9	2	14	1	16	2	15	4	8	7.9
pedrocerrano	12	8	7	4	12	8	3	14	3	7.9
thejuice6	3	9	2	12	10	11			7	7.7
schwarze	13	12	4	5	1	4	7	1	6	5.9
happyhours								2		2.0