hello :) i im sure that this is the most correct tab of Stranger things have happened on UG so far :)
it works for me.. hope it will for you too.. i love this song, and thinks
Dave and Co. have done a amazing job writing the lyrics and the guitar
parts for this song. so i decided to tab it out

enjoy ;)

intro + verse

e|-----------------------------------------------------------------|
B|-----------------------------------------------------------------|
G|-----------------------------------------------------------------|
D|-----0---0-2---------------------0---0-2-0---0---0-2-----2-------|
A|-2-2---2-----0-----0---0-2---------------------------0h2---------|
E|---------------2-2---2-----1-0-0---0-------0---0-----------------|

chorus (listen to the song to get the right strumming)

e-----------------------2-------------------------
B-----------------------3-------------------------
G---4----2---------1----2----2----2-1----2----1---
D---4----4----5----2---------4----3-2----2----2---
A---2----4----5----2---------4----3-2----2----2---
E-------------3-----------------------------------

first bridge (this part is also included in second verse)

e|-----5-----5/7-----5----4----0---|
B|---3-----3-------3----3----3-----|
G|-4-----4-------4----4----4-------|
D|---------------------------------|
A|---------------------------------|
E|---------------------------------|

e|-----5-----5/7-----5----4----4b-5-7--|
B|---3-----3-------3----3----3---------|
G|-4-----4-------4----4----4-----------|
D|-------------------------------------|
A|-------------------------------------|
E|-------------------------------------|

(second verse change)

e|-----5-----5/7-----5----4----4b5-------|
B|---3-----3-------3----3----3-----5-3-0-|
G|-4-----4-------4----4----4-------------|
D|---------------------------------------|
A|---------------------------------------|
E|---------------------------------------|

second bridge

e|-7-7-7-10-10-7-5s7-7-9-12-12-12-x-4-4-4-5-5-4-0-2-4-4-x-|
B|-7-7-7-7--7--7-5s7-7-7-12-12-9--x-3-3-3-3-3-3-3-3-3-3-x-|
G|------------------------------------------------------x-|
D|------------------------------------------------------x-|
A|------------------------------------------------------x-|
E|------------------------------------------------------x-|


e|-10-10-10-12-12-10-x-12-12-12-14-14-12-x-12-12-12-14-14-12-10-12-10-12-x-|
B|-10-10-10-10-10-10-x-12-12-12-12-12-12-x-9--9--9--9--9--9--9--9--9--9--x-|
G|-----------------------------------------------------------------------x-|
D|-----------------------------------------------------------------------x-|
A|-----------------------------------------------------------------------x-|
E|-----------------------------------------------------------------------x-|

solo

e|--5-5-5-5-5-----------7---------------------------------|
B|--3-3-3-3-3-x-5~-3-5~-7-5-------------------------------|
G|--------------------------7-4p2---2h4-4-2-4-2-----------|
D|--------------------------------4-------------4-2-0-2---|
A|--------------------------------------------------------|
E|--------------------------------------------------------|


e|--10p7------7p5------------------------------------------------------------------------|
B|-------10-7-----7-5--10p7--------------------------------------------------------------|
G|--------------------------9-7--9p7-----------------------------------------------------|
D|-----------------------------------9-7--9-9-7------------------------6-6/7---9-9-9-9-9-|
A|----------------------------------------------9-7-7-5---7-7b---5h7-9-------9-----------|
E|------------------------------------------------------7------7-------------------------|

then comes last chorus followed by an outro.
the outro is just the main riff and the 1. bridge solo thingy

:)