I know that for many around here they play mostly online / computer game / app and thus you have to adapt, but if one could teach new players the rules (and you're only concerned about the play-style, not difficulty of learning, say experienced mahjong players, but not riichi) what would you use? Following the options in the link mentioned before, here's what I would teach.
Kuitan and Atozuke ON
Kuikae OFF in all cases
Starting 25k, Goal 30k, Uma 20/10 (+40/+10/-10/-20) including Oka. Ties divided equally.
Renchan on Tenpai (possible variant, renchan on positive). Noten is ON (One of the defining characteristics, IMHO, though not at the same level as Riichi and Dora)
All Dora ON, Red Fives ideally one in each suit (but I don't have a Japanese set, so that would have to go)
Call precedence is Ron - Pon+ - Chii (pretty standard)
Double and Triple ron ON (My defining principle is: No easy escapes, if you deal into two hands, you pay both, but if you deal into three hands you walk away unscatched? Nah-ah)
Temporary Furiten ends on my own call (obviously not ron) or my draw (The chart says "player's discard", but then you have to say that Tsumo is allowed. It makes sense after all, but see * below)
No abortive draws of any kind, max 4 Kans, but only because there's no more dora indicators (Maybe I could go with unlimited kan, but a rule that says there can only be five indicators max, plus five hidden)
Pao is ON (on Dragons and Winds it makes sense, not so sure on Suukantsu. The saki play is ron). I hadn't thought about the tsumibo on a split payment. So I don't have a preference here.
Automatic agari yame if Oya is first and has at least 30,000. Not on tenpai.
Dobon on -100, no maximum. Riichi needs 1000 points. West round if needed, sudden death.
Yakitori and Wareme OFF
Wining is 2 han? Well, duh! I can't envision any other way...
Kiriage Mangan OFF
Kazoe Yakuman ON. Multiple Yakuman ON. Kazoe doesn't stack. Is it possible to have a yakuman with 13 han on the side anyway? Maybe suu ankou with many dora, but yeah. It doesn't stack.
Furiten Riichi allowed (but I don't see any advantage on doing it, so it usually happens by mistake)
Kan after Riichi must maintain all possible interpretations and waits. (I'm not sure what the "if it changes yaku" line means, however)
Kokushi can NOT rob an ankan (Kokushi is already special, why does it deserve more uniqueness? It hurts seeing that kan, for sure, but that's Mahjong)
All green without Hatsu OK
Haitei Rinshan OFF
Nagashi Mangan is a Yaku.
Tenpai defined by shape (Yakunashi, Karaten, Furiten OK, but five copies of a tile in the same hand is NOT Tenpai)
Yaku values as standard (What is the difference in showing Daburu Riichi / Double Win as 2 Han, or 1+1 Han?)
Open Riichi NOT allowed. Ryanpeikou I explain as 1+2, although technically not true. It's easier to grasp (IMHO) and the result is the same. But the two Iipeikous have to be different)
Seven Pairs is 2/25
Renhou (is that the one that is by ron?) OFF. The other two are OK. (See ** below)
Daisharin OFF (It's Sanbaiman at the very least anyway)
Shisan Puutaa OFF (Big time! No easy escapes, remember?)
Paarenchan ON
Scoring is standard. Menzen Ron is 10 fu, Open pinfu shape is 2 fu. Rinshan is self-drawn. (What is the difference between "2 fu" and checkmark here?)
A double wind tanki is 4 fu. (Hmm... it's an inconsistency for sure... but meh)
Non-standard Double Yakuman: Chiitoi Tsuuissou (Daichiisei)
* The case that seems more controversial is a Saki play (Kan-Tsumo) while being Furiten. My rules say Rinshan is self-drawn (2 fu) so it should be legal. It may hurt, though. For maximum controversy, what if I have two ankou, I let one pass, and I call the other in the same round? Scary, eh?
** This may raise controversy, but hey, this game has so many rule points you have to agree on!

So what are your preferences around here? (This might be a bit text-wally... Sorry about that)