Spieth led after the third round in 2014, from start to finish in 2015 and for 54 holes in defence of his title, although he did then blow a five-shot lead with nine holes to play as Danny Willett took full advantage with a closing 67.
Woods hit three balls into the gallery and another into the water at Augusta National's famed, three-hole signature section.
"I've kept myself out odf trouble and allowed my putter to do the work", said Reed of being out in front.
Reed was at 9-under 135.
An opening 73 left him seven adrift, but adoring fans cheered him and stood 10 deep to catch a glimpse of the 14-time major champion, new crowds enjoying a "Tigermania" opportunity some thought might never come again. But McIlroy understands the significance of what he's trying to do, finish a modern career grand slam that only five players before him have managed to pull off.
Reed, a five-times victor on the PGA Tour still seeking his breakthrough in a major, mixed nine birdies with three bogeys for a six-under-par 66 that brought him to nine under for the week, two shots clear of Australian Marc Leishman (67).
After several close calls, most notably a playoff loss to Padraig Harrington at the 2007 British Open, it appeared Garcia's time had come and gone.
Spieth's 15-foot birdie putt on No. 18 burned the edge. He led after each of the first three rounds and was cruising, only to collapse on the back nine Sunday.
Webb Simpson could be making a move with consecutive birdies at the second and third holes.
"The par 5s are huge around here to be able to pick up ground on", Reed said.
For everyone else, it was about jockeying for position. Spieth settled for a quadruple-bogey 7 and lost his lead to Danny Willett. He three-putted from long range on No. 5. He chipped out and missed a 20-footer for par.
"I would have done it [shoot in the 60s] if I'd quit after playing 16", Woods said.
There were a few bright spots, particularly on the back nine.
"Hopefully I can get some better rest tonight and elevate, ice, have fluid and hopefully feel better", Finau said.
Phil Mickelson, seeking to become the oldest victor in Masters history at 47, was two off the lead before running up a triple bogey on the ninth after his recovery attempt ricocheted off a tree. He captured the World Golf Championship late previous year in Asia and collected three other top tens this season including a third place finish at Bay Hill three weeks ago. He later added a bogey on No. 11 and then plunked it in the water on the following hole.
He shot a three-over 75 in the second round and is 4 over heading into the weekend. He made bogey from the bunker on No.4. But don't feel too bad, Fuzzy didn't know it either.
Still, it left him 3 over in the opening round at the Masters and seven shots behind leader and playing partner Marc Leishman. He two-putted for his second birdie of the day and was safely inside the cut line.
"And we - I'm hoping that everybody will enjoy it". Hit a pretty good one on the 18th, gets a bad bounce, goes in the bunker, you get a awful lie. He was tied for 40th.
He was looking good for much of the round before struggling during a two-hole stretch.
"Seventy-three is fine", Woods said.
He said he didn't hit his irons very good at all, adding that he "didn't control distances, shapes or anything".
Austin Cook (Jonesboro, Arkansas Razorbacks) shot an 8-0ver 80 Friday and missed the cut with a 10-over 154.
"Mentally, I was a little more in sync than maybe in the past", he said.
Leishman's wedge shot at the par-5 second bounced onto the back fringe and spun back to within a few feet of the flag.
Spieth warns that the course will send everybody's scores skyrocketing on the weekend and players have to prepare for that mentally. After shooting a 70 in Thursday's first round, Mick.