I tend to give EVA, especially the first incarnation a lot of slack given it's well documented troubles behind the scenes, although this make me a hypocrite because there are plenty of other shows with backstage issues where I've gone "that shouldn't effect my viewing experience though". I think in the end, if it doesn't take the reader out of the moment at the time, you shouldn't worry about it too much.
That said, let me continue on my mission of accepting Symphogear into your lives:
Honestly Symphogear has been described by many as operatic, which is appropriate given it's a show about understand each other through music when you can't find words. What they actually mean is that it does the huge and over the top and insane incredibly well. It's Symphogear's life blood, as you'd expect from a show who mushed Madoka Magica, Lyrical Nanoha and Macross into Mecha Magical Girl Idol Lesbians fight with the power of love and rock. Yes, it's as crazy awesome as it sounds.
(Genuine bad guy line five seconds before his giant Illuminati ship got chopped in half by a giant magical sword)
The problem is, while the show excels at the big moments like punching mountains and suplexing spaceships and fighting the moon, the smaller things often escape it. When it fails, it fails hard. S3 was all about daddy issues and while most went ok (which is saying something when the other two were "I raised you as my daughter but you're my sister" and "Dad said know more of the world before he died so I'm going to dissect the planet"), it gave us the return of the protagonist's dad (hatefully given the title Top Dad by fandom) who abandoned her years ago because he couldn't handle the pressure of her being the only survivor of a massacre and helping her recover from barely surviving a piece of (magical) shrapnel to the chest. Upon his return he: ran away leaving kids to be killed by monsters, asked his daughter to get him back together with her mother, asked her to pay for dinner and tried to sell recording of her saving the world to the media before being told its ok because he tried to save her this one time. Made all the more frustrating because she had a wonderful found family style father figure. The show did apologize, wrote him out of S4 and S5 has told us in passing her parents are "apart more than they're together". Another time in S4 they attempted to more directly confront what they'd been handling reasonably well in the background until now, that three of the girls came from an abusive background. The attempt was "you're stronger and kinder even though you've suffered through all this" and came out more as "abuse made you strong and kind so yay".
There are huge, glaring plot holes. One of the biggest in fandom being where's the missing Gungnir shard. But also, if the protagonist could absorb and redirect other people's deadly attacks because she had a shard inside her causing her massive regenerative powers, why can she still do it even through the shard and its effects were removed in S2?
The girls are also somewhat over sexualised. 3/6 girls are now over 18, and to be fair to the show, it was usually the 22yo who got most the sexualisation. However, as the girls have matured and the show has continued, there has been a trend, particularly in the transformations sequences, to cut it a bit fine. Which was brought to a head recently with the fantastic transformation sequences of S5 giving us the scythe girl at 16 transforming via a pole dancing scene, which could have been fone tastefully but the gaze made it feel a little too sexual and given it was the week after an absolutely breathtaking martial arts styled transformation (see below), it didn't go down well.
And the other thing they do fantastically is the concert scenes and music in general.
And all these big incredible building scenes and so enjoyable and the overall stories so good, you can totally forgive the fact that when they try to directly tackle the more sensitive issues rather than keep them in the background they tend to struggle, the mild oversexualisation (still very mild compared to a lot of anime), the plot inconsistencies (mild as they usually are) and the protagonists slow growing over powered. It sells itself as over the top, action packed musical madness and it delivers that so well you can over look the flaws.