In no order...
The Autumn Effect by 10 Years - It is probably best alternative rock album I've ever heard. It's very melodic and pretty, very poetic, but has a subtle heaviness to it. Very cohesive album, great flow, some excellent interludes, so many epic songs that make you think and wonder. I find it very inspirational and soothing to listen to. Unfortunately the band has never really been able to come close to this again, for whatever reason.
Hysterics by Rolo Tomassi - This album is bat-crap crazy and I love it. It is an extremely noisy blend of progressiveness and mathcore (think Dillinger Escape Plan meets Pink Floyd, throw in some jazz and some Castlevania sounding keyboard). I don't know how to describe it, but it's crazy and so very catchy and fun to listen to. They have a great female vocalist who sounds almost like something you'd hear in black metal. It's definitely some of the whackiest music I've heard that I actually find enjoyable. Though all of their albums are like this, Hysterics is the most bizarre sounding to me. For most it's gonna be love or hate. I love it.
Nuclear. Sad. Nuclear. by The Number Twelve Looks Like You - It's an album that only TNTLLU would make. They have a very unique take on the progressive hardcore genre. This one was a little less refined that their later stuff, but it's such a fun listen. If ADHD could be an album, this is it. It's a crazy blend of so much odd and unexpected stuff coming at you, it never gets old. Though the vocalist kind of sounds like SpongeBob when screaming, I still enjoy it.
Desperate Living by Horse The Band - A great progressive post-hardcore album with lots of 80s and Nintendo inspired keys. Very fun to listen to, kind of on the bizarre side of things. The songs kind of go everywhere, but still have a good sense of progression and an epic-ness to them. My friend once described it as sounding like "every part of the song is the climax", and I kind of agree.
Daisy by Brand New - Just a very raw, and frustrated sounding rock album. It has a haunting and mysterious air about it. It's an album that is very simple, but it's also very powerful.
Feathergun by Rishloo - A really creative and unique modern take on old fashion progressive rock. The guy has quite a vocal range, and the music is whimsical and refreshing. There definitely needs to be more albums like this being made nowadays.
Oracular Spectacular by MGMT - Probably my favorite pop album. Just catchy and fun, but also very subtle, clever, and a bit bizarre. There are so many different sounds going on with this album, and they're always done extremely well for a duo that were only just debuting at the time. Makes a great album to listen to when driving.
Catch Without Arms by Dredg - This album was a perfectly blend of old Dredg meets new Dredg. Just a lot of really catchy and unique sounding songs on here, songs that only Dredg would write. Although many prefer El Cielo, this is the album that always stood out to me as definitive of the band.
The Always Open Mouth by Fear Before The March of Flames - A very cynical and downtrodden album, but also very catchy and bizarre. The songs take huge leaps from one verse to the next, and the album as a whole is nearly impossible to peg as one genre, but rooted in progressive rock and hardcore.
I Have Made My Bed In Darkness by Exotic Animal Petting Zoo - It's another one of those albums that is difficult to define. In a way it's kind of like Dillinger Escape Plan mixed with Radiohead? Parts of it are chaotic and noisy, others are very quiet and ambient, and some of it finds that middle ground. Again, mostly long, progressive songs but very rewarding and unique.