Train and bus timetable for AUG 14-15 on our planned trip:
We travel 3 times by train, and one time from eger to Kazincbarcika by bus, because it's much faster on that route. If Akoss knows an even better solution (microbus?

), we can change of course.
The start depends on when we want to arrive to Kazincbarcika. I though Eger and Tokaj both need at least 5-6 hours to enjoy ourselves.
So we either go with the 7:15 train from Budapest, arrive to Eger at 9:22, and then we leave to Kazincbarcika at 14:40 (arrival at 16:14)
Or we take the 11:15 train to Eger and leave with the 19:37 bus to Kazincbarcika, in this case to have a night party.

Third option:
we take the 9:15 train, arrive to Eger at 11:12, and leave with the 15:55 bus to D?d?stapolcs?ny sz?vetkezeti italbolt (means D?d?stapolcs?ny collective drink shop), and there wait 20 minutes for the bus to Kazincbarcika, where we arrive at 17:59. Well this is what I call a REAL eastern-Hungary trip

On the next day we may leave with the 10:26 train (journey time 1:38, the preferred choice) or the 11:28 train (journey time 1:14, needs a compulsory seat ticket which is around 2EUR) to Tokaj, where we spend a nice time again, and most likely we return to Budapest with the 17:51 InterCity or the 17:51 slow and full and cheaper by 4EUR train, and get a nice sleep at home
The total ticket costs at FULL price (unfortunately as I know you have to pay the full price, but I'll ask about international student cards. will be around 6400HUF (~25EUR) and a total of 9 hours spent travelling (and having fun meanwhile

)
I asked about renting a microbus, that would around 280EUR for the bus with fuel and road fees included. I guess thats no option.
Budapest->Eger
Budapest-Keleti pu. 07:15 09:22 2:07 142 km 1.624 Ft - 2.
Budapest-Keleti pu. 09:15 11:12 1 1:57 142 km 1.624 Ft - 2.
Budapest-Keleti pu. 11:15 13:12 1 1:57 142 km 1.624 Ft - 2.
Eger->Kazincbarcika
Eger, aut?busz ?llom?s Kazincbarcika, aut?busz ?llom?s 14:40 16:14 1:34
Eger, aut?busz ?llom?s D?destapolcs?ny, sz?vetkezeti italbolt 15:55 16:56 1:01 0:20 (waiting time)
D?destapolcs?ny, sz?vetkezeti italbolt Kazincbarcika, aut?busz ?llom?s 17:16 17:59 0:43
Eger, aut?busz ?llom?s Kazincbarcika, Szt.Fl?ri?n t. 19:37 21:15 1:38
Kazincbarcika->Tokaj
10:26 12:04 1 1:38 81 km 890 Ft - 2.
11:28 12:42 1 1:14 81 km 1.020 Ft [R] [P] 1.2.
Tokaj->Budapest
17:24 20:12 Budapest-Keleti pu. 2:48 238 km 4.060 Ft 2.880 Ft [R] 1.
17:51 21:12 Budapest-Keleti pu. 1 3:21 238 km 3.895 Ft 2.880 Ft [R] 1.2.
17:51 22:07 Budapest-Keleti pu. 1 4:16 238 km 3.375 Ft 2.360 Ft - 1.2.