One has to remember that the Olympics cannot realistically be about only minority sports, because the huge casual fan-base that justifies the TV rights millions that fund said minority sports is hugely boosted by the 'popular' sports. an example is the golf, which was a shambles in terms of getting the best male players in....but had HUGE viewing figures, both in Golfing countries, but also in other places. Justin Rose, a previous major winner who won the men's event (and rightfully so, he and Steenson having backed the event to the hilt were worthy medalists) has stated that he did the Olympics knowing there was no money in it, for the glory and the atmosphere...but then said he was stunned when his agent told him he had more big international sponsor interest in 48 HOURS after the Olympic gold than in the TWO MONTHS after winning the major (the US Open). That's the Olympic global impact - even the refusniks like McIlroy have blatantly admitted they got it hopelessly wrong - just like Tennis, as I predicted, within 8-12 years (2-3 cycles) the Olympic Golf will be considered second only to the Majors, and up there with Ryder Cup.
Football falls in the same issue, but I think Rugby has shown a way out. The Sevens was a HUGE success, and I suspect will be in the Games for decades to come - so concise, so exciting, so cheap to stage, small teams...perfect. Beach volleyball too. So yes, the football tourney is neither fish nor foul, on the mens' side - I'd leave the women's as it is, it's respected and loved, but I think there's a huge argument for the introduction of Futsal instead of the 11 a side game for men - it would be the elite of that form of the game, smaller teams so fewer athletes to house and feed, and much quicker to run
As for the rest, well, my 2p/2c/ 2 drachma/2 rupees:
Archery - reduce individual fields to 48 from 64 by removal of the third archer from the teams (12 per gender) and another 4. So instead of 12 x 3(36) + 28 x 1(=64, repping 40 countries), you have 12 x 2(24) + 24 x 1 (48 repping 36 countries).
Introduce a sudden death repechage round after first round of individual events - so 48 becomes 24 - the 24 'losers' go into 8 3-archer sudden death matches, 8 winners join earlier 24 to make a 32 archer second round and then knockout - end up with exactly same number of matches per event as we currently have (32+16+8+4+2+2) becomes (24+8+16+8+4+2+2)
Then convert the two team events, into a single, mixed gender event with 4 archers, 2 per gender, per team. once can either keep the four seed bye system or introduce another version of sudden death repechage - 6 first round matches, 2 three team sudden death repechages for the losers, followed by quarters, etc.
The big advantage of repechages is every archer gets guaranteed two matches, while still maintaining a strong peril element. So we end up with 3 events instead of four, but every archer still with the chance to win 2 golds, and 96 archers instead of 128 (a saving of 32 athletes, which can then be redistributed to other sports, or even used up by Archery in another form of the sport, such as Field or 3D archery - personally, I'd redistribute)
Athletics
The big beast, with over 2000 athletes per Games. Hard to know where to slice and dice here, but here are a few suggestions.
1. Regularise the gendering in the walks, preferably with the removal of the 50k men's event.
2. A maximum of two per nation in the field events.
3. A significant reduction in Marathon and 100 metre fields.
Aquatics
Swimming - number 2 only to the Athletics, but again some pruning should be possible.
The fields of the 50 m freestyle are far too big.
The mixed gender medley relays work exceptionally well at World and continental level - may be worth adding if it can be done with no extra numbers of swimmers. Perhaps, dare I suggest, a super maxi event involving 8 legs - 4 men, 4 women, all 4 strokes - although the two backstroke legs may prove an issue here.
Consideration to be given to making the 200 'stroke' events - back, breast and fly, into 400 metre, genuine endurance events...too many athletes find the 100, 200 double too easy, and it leads to swollen medal tally's as compared to other sports - make the distinction between speed and endurance within stroke bigger.
Diving
We could shave down the individual events by about 4 divers each, and perhaps consideration could be given, as in the synchro events, to a one diver per event maximum. One should probably be able to carry over your first round score into the semi - and totalise them rather than blanking slates - because the Tom Daley situation (aceing the first round with vast score, only to bomb out in semi) seemed a bit silly to be honest.
The addition of a mixed gender team event might be fun, on the proviso it required no extra divers and used only already qualified ones - 2 dives per diver, 1 male and 1 female platform, 1 male and 1 female springboard. May require a certain jiggering around with qualification to ensure X teams can field, but again, no increase in overall numbers - and a team aggregate event of individual divers would be a completely different test than synchro.
In short, I think it should be perfectly possible to have 9 events instead of 8, AND increase podium diversity while actually marginally reducing numbers.
TBC....