Well my suggestion of changing it, which I've posted before but will update for this season, before you even bother looking it at TV pairings etc., involves changing the coefficient system and making Pot 1 & 2 "Champions pots".
"Simply put", the coefficient points are weighted per season, meaning that points earned 4 years ago are worth less than last season's points.
So, using the current system, the pots were as follows:
Pot 1: Real Madrid (Esp) 161.542, Bayern Munich (Ger) 157.542, Barcelona (Esp) 154.328, Chelsea (Eng) 140.949, Benfica (Por) 129.459, Atletico Madrid (Esp) 119.542, Arsenal (Eng) 112.949, Porto (Por) 105.459.
Pot 2: Schalke (Ger) 95.328, Dortmund (Ger) 82.328, Juventus (Ita) 80.387, PSG (Fra) 80.300, Shakhtar Donetsk (Ukr) 78.193, Basel (Sui) 75.645, Zenit (Rus) 73.899, Man City (Eng) 72.949.
Pot 3: Leverkusen (Ger) 70.328, Olympiacos (Gre) 67.720, CSKA Moskva (Rus) 66.899, Ajax (Ned) 61.862, Liverpool (Eng) 58.949, Sporting CP (Por) 58.459, Galatasaray (Tur) 55.340, Athletic Bilbao (Esp) 54.542.
Pot 4: Anderlecht (Bel) 50.260, Roma (Ita) 39.987, APOEL (Cyp) 37.65, BATE (Bel) 33.725, Ludogorets (Bul) 18.125, Maribor (Slo) 16.2, Monaco (Fra) 11.3, Malmo (Swe) 6.265.
Now if the points earned were weighted as follows:
13/14: 100%, 12/13: 80%, 11/12: 60%, 10/11: 40%, 09/10: 20%.
The pots would look like this:
Pot 1: Real Madrid ESP 102.91, Bayern Munich GER 94.82, Barcelona ESP 91.91, Chelsea ENG 87.6, Benfica POR 82.2, Atletico Madrid ESP 77.71, Arsenal ENG 65.8, Borussia Dortmund GER 62.62.
Pot 2: Schalke GER 61.8, PSG FRA 60.3, Porto POR 60.2, Juventus ITA 54.8, Basel SUI 52.2, Man City ENG 50, Zenit RUS 49.833, Leverkusen GER 47.62.
Pot 3: Shakhtar UKR 46.1, Olympiacos GRE 42.96, Galatasaray TUR 39.46, Ajax NED 36.2, CSKA Moskva RUS 32.33, Athletic Bilbao ESP 30.71, Sporting CP 28.79, Anderlecht BEL 27.45.
Pot 4: Liverpool ENG 26.2, APOEL CYP 21.31, BATE BLR 18.45, Roma ITA 17.2, Ludogorets BUL 16.72, Maribor SLV 11.99, Monaco FRA 6.3, Malmo SWE 4.32.
So some notable changes, Dortmund move up into Pot 1 at the expense of Porto, whilst PSG get much closer to Pot 1 and Arsenal much closer to Pot 2. Leverkusen displace Shakhtar from Pot 2 whilst Anderlecht bump Liverpool into Pot 4.
However, there is scope to alter the points system further. By offering larger points for winning games, and awarding more points to unseeded or lower pot teams for their victories, you create a system where teams accrue points based on merit, and their individual achievements, rather than treating each club the same. Implementing my points system creates the following pots:
Pot 1: Real Madrid ESP 122.31, Bayern Munich GER 121.34, Chelsea ENG 115.4, Benfica POR 105.22, Atletico Madrid ESP 101.92, Barcelona ESP 99.71, Borussia Dortmund GER 73.94, Basel SUI 69.73.
Pot 2: Porto POR 65.11, Schalke GER 63.2, PSG FRA 59.7, Arsenal ENG 58.42, Juventus ITA 52.1, Zenit RUS 51.6, Man City ENG 50.62, Bayer Leverkusen GER 46.93.
Pot 3: Olympiacos GRE 43.35, Athletic Bilbao ESP 41.04, Shakhtar UKR 39.67, Ajax NED 39.6, Galatasaray TUR 38.01, Sporting CP 36.92, Anderlecht BEL 32.4, Liverpool ENG 31.1.
Pot 4: BATE BLR 29.6, CSKA Moskva RUS 29.45, APOEL CYP 28.1, Ludogorets BUL 27.97, Maribor SLN 25.9, Roma ITA 17.5, Malmo SWE 7.696, Monaco 6.3.
So this does a number of things. The added value of winning matches, larger points for getting further in the competition and more points to unseeded/lower pot teams, as well as the Europa League being regarded more highly, means that teams like Basel, who overachieve practically every season, get rewarded by suprisingly ending up in Pot 1, whilst teams like Arsenal, who do the bare minimum, get punished. It also narrows the gaps between pots, meaning teams shuffle around more leading to a greater variety of groups, but what if we reward champions with a higher pot for their success? Well I'm not going to rank it on the league coefficient, as that is already incorporated into the coefficient, instead I will use my new coefficients to rank the teams, with the first 2 pots going to champions.
Pot 1: Real Madrid [Holders] ESP 122.31, Bayern Munich GER 121.34, Benfica POR 105.2174, Atletico Madrid ESP 101.92, FC Basel SUI 69.73, PSG FRA 59.7, Juventus ITA 52.045, Man City ENG 50.62.
Pot 2: Olympiacos GRE 43.35, Shakhtar Donetsk UKR 39.67, Ajax NED 39.6, Anderlecht BEL 32.35, BATE BLR 29.61, CSKA Moskva RUS 29.45, APOEL CYP 28.1, Ludogorets Razgrad BUL 27.97.
Pot 3: Maribor SLN 25.9, Malmo FF SWE 7.696, Chelsea ENG 115.4, Barcelona ESP 99.71, Borussia Dortmund GER 73.94, FC Porto POR 65.11, Schalke 04 GER 63.2, Arsenal ENG 58.42.
Pot 4: Zenit RUS 51.603, Bayer Leverkusen GER 46.94, Athletic Bilbao ESP 41.04, Galatasaray TUR 38.01, Sporting CP POR 36.92, Liverpool ENG 31.1, Roma ITA 17.5, Monaco FRA 6.3.
What this does is it means that a) you get at least 2 champions per group, b) you get much greater variety in terms of groups, especially per season as it means teams swap groups with greater frequency and c) the champions benefit from the tv pairings as they get more options presented to them during the draw, while its the best placed teams who suffer having to be shunted into 1 or 2 group options because of the tv pairings, so instead of Arsenal, who finished 4th, receiving the option of 8 group slots, it's the champions who benefit from it. Also teams are spread more evenly across pots, making the draw and groups more interesting. With that system, still using TV pairings, you can end up with alternate groups such as the following:
Group A: PSG, Ludogorets Razgrad, Maribor, Galatasaray.
Group B: Benfica, Shakhtar Donetsk, Barcelona, Zenit.
Group C: Man City, Anderlecht, Borussia Dortmund, Athletic Bilbao.
Group D: Juventus, Ajax, Chelsea, Bayer Leverkusen.
Group E: Atletico Madrid, Olympiacos, Arsenal, Monaco.
Group F: FC Basel, CSKA Moskva, Schalke 04, Liverpool.
Group G: Real Madrid, BATE Borisov, FC Porto, Roma.
Group H: Bayern Munich, APOEL, Malmo FF, Sporting CP.
Now it's not perfect, and there are still some "weak" groups, but that's down to who qualifies, but what this does is make it more unpredictable, it splits up the Pot 1 teams so they could be drawn together, it does the same to the stale Pot 2, making more unpredictable matches, and it also rewards champions, as I ended up not being able to put Monaco or Roma in City's group despite being drawn out because the Pot 1 teams get the advantage on TV pairings, thus they had to go in the other half of the draw.
Tis what UEFA should do in my humble opinion.